Log in

Relevant bibliographies by topics / Solitary waves / Journal articles

To see the other types of publications on this topic, follow the link: Solitary waves.

Journal articles on the topic 'Solitary waves'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 June 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Solitary waves.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Chu, Jen-Ping, Patrick Lynett, and Mitul Luhar. "EXPERIMENTAL STUDY OF INTERNAL SOLITARY WAVES INTERACTION WITH SURFACE SOLITARY WAVES." Coastal Engineering Proceedings, no. 38 (May 29, 2025): 40. https://doi.org/10.9753/icce.v38.waves.40.

Full text

Abstract:

Internal solitary waves (ISWs) consist of a non-periodic single-crest profile resulting from the balance between non-linearity and dispersion. They can be a significant source of momentum transport in any stratified systems, such as oceans and estuaries. Previous experiments have primarily utilized lock- release mechanisms to generate internal solitary waves in two-layer systems. This provides limited control over wave properties and limits its studies with barotropic wave interactions. The present effort attempts to validate the performance of a new wave generation method, termed the Jet Array Wave Maker (JAW). Experiments show that the JAW system reliably generates ISWs with interfacial displacements and velocity fields in close agreement with theoretical predictions. Future experimental work will target surface solitary waves (SSWs) interaction with ISWs.

APA, Harvard, Vancouver, ISO, and other styles

2

Fitzgerald, Richard J. "Interacting solitary waves." Physics Today 65, no. 11 (November 2012): 20. http://dx.doi.org/10.1063/pt.3.1777.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Ignatov, A. M. "Magnetosonic Solitary Waves." Plasma Physics Reports 50, no. 5 (May 2024): 603–10. http://dx.doi.org/10.1134/s1063780x24600555.

Full text

Abstract:

Abstract The set of equations is obtained that describes the nonlinear three-dimensional dynamics of magnetosonic waves. Plane solitary waves propagating at a small angle to the guiding magnetic field have been studied. Three-dimensional spatially localized waves have been qualitatively studied.

APA, Harvard, Vancouver, ISO, and other styles

4

Ignatov, A. M. "Magnetosonic solitary waves." Fizika plazmy 50, no. 5 (December 5, 2024): 579–87. https://doi.org/10.31857/s0367292124050075.

Full text

Abstract:

The set of equations is obtained that describes the nonlinear three-dimensional dynamics of magnetosonic waves. Plane solitary waves propagating at a small angle to the guiding magnetic field have been studied. Three-dimensional spatially localized waves have been qualitatively studied.

APA, Harvard, Vancouver, ISO, and other styles

5

Weidman, P. D., and R. Zakhem. "Cylindrical solitary waves." Journal of Fluid Mechanics 191, no. -1 (June 1988): 557. http://dx.doi.org/10.1017/s0022112088001703.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Mason, Joanne, and Edgar Knobloch. "Solitary dynamo waves." Physics Letters A 355, no. 2 (June 2006): 110–17. http://dx.doi.org/10.1016/j.physleta.2006.02.013.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Qureshi, M. N. S., Jian Kui Shi, and H. A. Shah. "Electrostatic Solitary Waves." Journal of Fusion Energy 31, no. 2 (June 14, 2011): 112–17. http://dx.doi.org/10.1007/s10894-011-9439-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Chen, X. N., and W. Maschek. "Nuclear solitary waves." PAMM 8, no. 1 (December 2008): 10489–90. http://dx.doi.org/10.1002/pamm.200810489.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Weidman, P. D., and M. G. Velarde. "Internal Solitary Waves." Studies in Applied Mathematics 86, no. 2 (February 1992): 167–84. http://dx.doi.org/10.1002/sapm1992862167.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Lo, Peter H. Y., Wen-Yu Chen, and Chun-Jui Huang. "LABORATORY EXPERIMENTS ON THE RUNUP OF LEADING-DEPRESSION N-WAVES." Coastal Engineering Proceedings, no. 38 (May 29, 2025): 14. https://doi.org/10.9753/icce.v38.waves.14.

Full text

Abstract:

Real tsunamis often lead with a depression wave, causing coastal water level to lower before the main tsunami wave arrives and floods the coast. The widely used benchmark wave, the solitary wave, cannot capture this phenomenon, in addition to the many drawbacks in using the solitary wave as a model tsunami wave form (Madsen et al. 2008). Although alternative tsunami wave forms have been proposed to capture the water level withdrawal phenomenon, in particular the leading- depression N-waves (LDN), a consistent method for generating and characterizing LDNs had been lacking. In this study we adopt the Lima et al. (2019) wave generation method to consistently generate LDNs in the laboratory. By comparing the evolution, shoaling, and runup processes of LDNs to those due to solitary waves of the same wave amplitude, we seek to identify the differences and similarities between the runup of LDNs and the runup of solitary waves. The ultimate objective is to provide a link between LDNs and solitary waves, so that the vast existing knowledge on solitary waves can be extended to study LDNs.

APA, Harvard, Vancouver, ISO, and other styles

11

Cai, Huixian, Chaohong Pan, and Zhengrong Liu. "Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System." Abstract and Applied Analysis 2014 (2014): 1–20. http://dx.doi.org/10.1155/2014/189486.

Full text

Abstract:

We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov systemut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0calledD(m,n)system. We reveal some interesting bifurcation phenomena as follows. (1) ForD(2,1)system, the fractional solitary waves can be bifurcated from the trigonometric periodic waves and the elliptic periodic waves, and the kink waves can be bifurcated from the solitary waves and the singular waves. (2) ForD(1,2)system, the compactons can be bifurcated from the solitary waves, and the peakons can be bifurcated from the solitary waves and the singular cusp waves. (3) ForD(2,2)system, the solitary waves can be bifurcated from the smooth periodic waves and the singular periodic waves.

APA, Harvard, Vancouver, ISO, and other styles

12

Lubin, Pierre, and Stéphane Glockner. "NUMERICAL SIMULATIONS OF BREAKING SOLITARY WAVES." Coastal Engineering Proceedings 1, no. 33 (September 28, 2012): 59. http://dx.doi.org/10.9753/icce.v33.waves.59.

Full text

Abstract:

This paper presents the application of a parallel numerical code to breaking solitary waves impacting a seawall structure. The three-dimensional Navier-Stokes equations are solved in air and water, coupled with a subgrid-scale model to take turbulence into account. We compared three numerical methods for the free-surface description, using the classical VOF-PLIC and VOF-TVD methods, and an original VOF-SM method recently developed in our numerical tool (Vincent et al., 2010). Some experimental data for solitary waves impinging and overtopping coastal structures are available in literature (Hsiao et al., 2010). Solitary waves are often used to model tsunami behaviors because of their hydrodynamic similarities. From a numerical point of view, it allows shorter CPU time simulations, as only one wave breaks. Here we apply the model to simulate three-dimensional solitary waves and compare qualitatively our results with the experimental data. We investigate three configurations of solitary waves impinging and overtopping an impermeable seawall on a 1:20 sloping beach.

APA, Harvard, Vancouver, ISO, and other styles

13

LAMB, KEVIN G. "A numerical investigation of solitary internal waves with trapped cores formed via shoaling." Journal of Fluid Mechanics 451 (January 25, 2002): 109–44. http://dx.doi.org/10.1017/s002211200100636x.

Full text

Abstract:

The formation of solitary internal waves with trapped cores via shoaling is investigated numerically. For density fields for which the buoyancy frequency increases monotonically towards the surface, sufficiently large solitary waves break as they shoal and form solitary-like waves with trapped fluid cores. Properties of large-amplitude waves are shown to be sensitive to the near-surface stratification. For the monotonic stratifications considered, waves with open streamlines are limited in amplitude by the breaking limit (maximum horizontal velocity equals wave propagation speed). When an exponential density stratification is modified to include a thin surface mixed layer, wave amplitudes are limited by the conjugate flow limit, in which case waves become long and horizontally uniform in the centre. The maximum horizontal velocity in the limiting wave is much less than the wave's propagation speed and as a consequence, waves with trapped cores are not formed in the presence of the surface mixed layer.

APA, Harvard, Vancouver, ISO, and other styles

14

Moe, Sandar Nyunt. "Shallow Water Waves, Solitary Waves and Ocean Waves." Dagon University Research Journal Vol.6, no. 2014 (November 19, 2019): Pg.189–200. https://doi.org/10.5281/zenodo.3547200.

Full text

Abstract:

In this paper, we study about properties and natures of water waves. Firstly, types of waves, classification of waves and basic properties of waves are presented. Then, we’ll talk about solitary waves and show their beautiful phenomenon by mathematically. We construct asymptotic solutions for multi-soliton solutions, using the inverse scattering transform method. Moreover, we study about three types of waves in the ocean such as wind-driver waves, tides and tsunami with their natures and properties.  

APA, Harvard, Vancouver, ISO, and other styles

15

Wang, Yufei, and Philip Li-Fan Liu. "DAMPING OF FINITE AMPLITUDE SOLITARY WAVES IN A FLUME." Coastal Engineering Proceedings, no. 37 (September 1, 2023): 7. http://dx.doi.org/10.9753/icce.v37.waves.7.

Full text

Abstract:

Solitary wave is a permanent wave when the dissipation is ignored. Many analytical solutions have been developed for finite amplitude solitary waves. In additional to the perturbation solutions, closed form solutions are also available (e.g., McCowan 1891, Clamond and Fructus 2003, being denoted as CF from hereon), which are more accuracy, especially for larger amplitude solitary waves which were discussed in Wang and Liu (2022). In Wang and Liu (2022) ’s laboratory experiments, solitary waves are slowly damped along the wave flume, which can be attributed to the energy dissipation inside the boundary layers on the bottom and sidewalls. Keulegan (1948) first derived an approximate solution to describe the wave damping in the wave flume for small amplitude solitary wave. The basic idea of calculating the damping effect is that the rate of energy dissipation inside the boundary layers must be the same as the rate of wave energy loss. In this work, the same principle of energy balance is adopted for calculating the wave damping for finite amplitude solitary waves in a wave flume. The closed form solutions provided in CF are employed here for analyses.

APA, Harvard, Vancouver, ISO, and other styles

16

BAKHOLDIN, I., A. IL'ICHEV, and A. ZHARKOV. "Steady magnetoacoustic waves and decay of solitonic structures in a finite-beta plasma." Journal of Plasma Physics 67, no. 1 (January 2002): 1–26. http://dx.doi.org/10.1017/s0022377801001337.

Full text

Abstract:

The solitonic, periodic and quasiperiodic solutions that obey the full system of transport equations describing one-dimensional motion of a isotropic collisionless quasineutral plasma in a magnetic field are treated. The domains of physical parameters of such a plasma are determined for fast and slow magnetoacoustic branches, where solitary waves and generalized solitary waves exist. In the parameter domain where solitary waves are replaced by non-local generalized solitary waves, the localized disturbances are subject to decay, which has qualitatively different mechanisms for fast and slow magnetoacoustic waves. The specific feature of the decay process for fast waves is found to be characterized by a decrease of energy of the disturbance due to quasistationary radiation of a resonant periodic wave of the same nature. Analogous disturbances, having the form of a slow magnetoacoustic solitary wave core, practically do not radiate resonant Alfvénic modes, but rapidly lose energy as a result of continuous shedding of a slow-wave component. Various types of shock waves are also considered. Their structure is formed by existing solitonic configurations – solitary and generalized solitary waves. Possibilities of observations of solitary waves and their decay in a real plasma are discussed.

APA, Harvard, Vancouver, ISO, and other styles

17

Yu, Wen, Fenggang Wang, Jianguo Lin, and Dong Li. "Numerical Simulation of the Force Acting on the Riser by Two Internal Solitary Waves." Applied Sciences 12, no. 10 (May 11, 2022): 4873. http://dx.doi.org/10.3390/app12104873.

Full text

Abstract:

An internal wave is a typical dynamic process. As an internal wave, an internal solitary wave usually occurs between two layers of fluids with different densities. Compared with general internal waves, internal solitary waves have large amplitudes, fast propagation speeds, short-wave periods, and often have tremendous energy. The propagation causes strong convergence and divergence of seawater and generates a sudden strong current. Due to its various characteristics, the propagation of internal solitary waves can cause serious harm to offshore engineering structures. Therefore, studying the effects of internal solitary waves on risers is vital in preventing environmental pollution caused by riser damage. Although the research on internal solitary waves has achieved very fruitful results, the research on structures is mostly focused on a single condition, and the occurrence of internal solitary wave, as a complex ocean phenomenon, is often accompanied by many situations. Therefore, this paper constructs a numerical simulation of the interaction between two columns of internal solitary waves and risers. This study explores the force and flow field changes of the riser under the condition of multiple internal solitary waves using the Star-CCM+ software in the simulation. The improved K-epsilon turbulence model was adopted to close the three-dimensional incompressible Navier–Stokes equation, and the solitary wave solution of the eKdV equation was used as the initial and boundary conditions. The interaction between single and double internal solitary waves and a riser was calculated, compared, and analyzed using numerical analysis. The experiment results indicate that the conditions of two internal solitary waves differ from those of a single internal solitary wave. After colliding at the riser, the waves gradually merge into a single wave, and the flow field reaches its minimum velocity. Under the two-wave condition, the horizontal force on the riser as a whole is less than the single-wave condition. As the amplitude difference between the two internal solitary waves gradually decreases, the horizontal opposing force received by the riser first increases and then decreases, while the horizontal positive force gradually decreases.

APA, Harvard, Vancouver, ISO, and other styles

18

Baldock, T. E., D. Peiris, and A. J. Hogg. "Overtopping of solitary waves and solitary bores on a plane beach." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2147 (July 18, 2012): 3494–516. http://dx.doi.org/10.1098/rspa.2011.0729.

Full text

Abstract:

The overtopping of solitary waves and bores present major hazards during the initial phase of tsunami inundation and storm surges. This paper presents new laboratory data on overtopping events by both solitary waves and solitary bores. Existing empirical overtopping scaling laws are found to be deficient for these wave forms. Two distinct scaling regimes are instead identified. For solitary waves, the overtopping rates scale linearly with the deficit in run-up freeboard. The volume flux in the incident solitary wave is also an important parameter, and a weak dependence on the nonlinearity of the waves ( H / d ) is observed. For solitary bores, the overtopping cannot be scaled uniquely, because the fluid momentum behind the incident bore front is independent of the bore height, but it is in close agreement with recent solutions of the nonlinear shallow water equations. The maximum overtopping rate for the solitary waves is shown to be the lower bound of the overtopping rate for the solitary bores with the same deficit in freeboard. Thus, for a given run-up, the solitary bores induce greater overtopping rates than the solitary waves when the relative freeboard is small.

APA, Harvard, Vancouver, ISO, and other styles

19

Kapitula, Todd. "Bifurcating bright and dark solitary waves for the perturbed cubic-quintic nonlinear Schrödinger equation." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 128, no. 3 (1998): 585–629. http://dx.doi.org/10.1017/s030821050002165x.

Full text

Abstract:

The existence of bright and dark multi-bump solitary waves for Ginzburg–Landau type perturbations of the cubic-quintic Schrodinger equation is considered. The waves in question are not perturbations of known analytic solitary waves, but instead arise as a bifurcation from a heteroclinic cycle in a three-dimensional ODE phase space. Using geometric singular perturbation techniques, regions in parameter space for which 1-bump bright and dark solitary waves will bifurcate are identified. The existence of N-bump dark solitary waves (N ≧ 1) is shown via an application of the Exchange Lemma with Exponentially Small Error. N-bump bright solitary waves are shown to exist as a consequence of the work of Kapitula and Maier-Paape.

APA, Harvard, Vancouver, ISO, and other styles

20

Shen, Yuan, Bo Tian, Chong-Dong Cheng, and Tian-Yu Zhou. "Pfaffian solutions and nonlinear waves of a (3 + 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt system in fluid mechanics." Physics of Fluids 35, no. 2 (February 2023): 025103. http://dx.doi.org/10.1063/5.0135174.

Full text

Abstract:

Fluid mechanics is concerned with the behavior of liquids and gases at rest or in motion, where the nonlinear waves and their interactions are important. Hereby, we study a (3 + 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt system in fluid mechanics. We determine a bilinear form of that system via the Hirota method. Nth-order Pfaffian solutions are obtained via the Pfaffian technique and our bilinear form, where N is a positive integer. Based on the Nth-order Pfaffian solutions, we derive the N-soliton, higher-order breather, and hybrid solutions. Using those solutions, we present the (1) elastic interaction between the two solitary waves with a short stem, (2) elastic interaction between the two solitary waves with a long stem, (3) fission between the two solitary waves, (4) fusion between the two solitary waves, (5) one breather wave, (6) elastic interaction between the two breather waves, (7) fission between the two breather waves, (8) fusion among the one breather wave and two solitary waves, and (9) elastic interaction between the one breather wave and one solitary wave.

APA, Harvard, Vancouver, ISO, and other styles

21

Xu, Chengzhu, and Marek Stastna. "On the interaction of short linear internal waves with internal solitary waves." Nonlinear Processes in Geophysics 25, no. 1 (January 17, 2018): 1–17. http://dx.doi.org/10.5194/npg-25-1-2018.

Full text

Abstract:

Abstract. We study the interaction of small-scale internal wave packets with a large-scale internal solitary wave using high-resolution direct numerical simulations in two dimensions. A key finding is that for wave packets whose constituent waves are short in comparison to the solitary wave width, the interaction leads to an almost complete destruction of the short waves. For mode-1 short waves in the packet, as the wavelength increases, a cutoff is reached, and for larger wavelengths the waves in the packet are able to maintain their structure after the interaction. This cutoff corresponds to the wavelength at which the phase speed of the short waves upstream of the solitary wave exceeds the maximum current induced by the solitary wave. For mode-2 waves in the packet, however, no corresponding cutoff is found. Analysis based on linear theory suggests that the destruction of short waves occurs primarily due to the velocity shear induced by the solitary wave, which alters the vertical structure of the waves so that significant wave activity is found only above (below) the deformed pycnocline for overtaking (head-on) collisions. The deformation of vertical structure is more significant for waves with a smaller wavelength. Consequently, it is more difficult for these waves to adjust to the new solitary-wave-induced background environment. These results suggest that through the interaction with relatively smaller length scale waves, internal solitary waves can provide a means to decrease the power observed in the short-wave band in the coastal ocean.

APA, Harvard, Vancouver, ISO, and other styles

22

Nakamura, Y., and K. Ohtani. "Solitary waves in an ion-beam-plasma system." Journal of Plasma Physics 53, no. 2 (April 1995): 235–43. http://dx.doi.org/10.1017/s0022377800018146.

Full text

Abstract:

Solitary waves in an ion-beam-plasma system are investigated theoretically using the pseudo-potential method, including finite temperatures of plasma ions and beam ions. The beam velocity is high enough to avoid ion-ion instability. Three kinds of solitary waves are possible, corresponding to ion- acoustic waves and to fast and slow space-charge waves in the beam. To observe the formation of solitary waves from an initial positive pulse, numerical simulations are performed. For the slow beam mode, a smaller solitary wave appears at the leading part of the pulse, which is a result of negative nonlinearity and anomalous dispersion of the slow mode, and is the opposite behaviour to the cases of the ion-acoustic wave and to the fast beam mode. Overtaking collisions of a solitary wave with a fast-mode solitary wave or with a slow-mode solitary wave are simulated.

APA, Harvard, Vancouver, ISO, and other styles

23

Nakayama, Keisuke, Taro Kakinuma, Hidekazu Tsuji, and Masayuki Oikawa. "NONLINEAR OBLIQUE INTERACTION OF LARGE AMPLITUDE INTERNAL SOLITARY WAVES." Coastal Engineering Proceedings 1, no. 33 (October 9, 2012): 19. http://dx.doi.org/10.9753/icce.v33.waves.19.

Full text

Abstract:

Solitary waves are typical nonlinear long waves in the ocean. The two-dimensional interaction of solitary waves has been shown to be essentially different from the one-dimensional case and can be related to generation of large amplitude waves (including ‘freak waves’). Concerning surface-water waves, Miles (1977) theoretically analyzed interaction of three solitary waves, which is called “resonant interaction” because of the relation among parameters of each wave. Weakly-nonlinear numerical study (Funakoshi, 1980) and fully-nonlinear one (Tanaka, 1993) both clarified the formation of large amplitude wave due to the interaction (“stem” wave) at the wall and its dependency of incident angle. For the case of internal waves, analyses using weakly nonlinear model equation (ex. Tsuji and Oikawa, 2006) suggest also qualitatively similar result. Therefore, the aim of this study is to investigate the strongly nonlinear interaction of internal solitary waves; especially whether the resonant behavior is found or not. As a result, it is found that the amplified internal wave amplitude becomes about three times as much as the original amplitude. In contrast, a "stem" was not found to occur when the incident wave angle was more than the critical angle, which has been demonstrated in the previous studies.

APA, Harvard, Vancouver, ISO, and other styles

24

CHAMPNEYS, ALAN R., and MARK D. GROVES. "A global investigation of solitary-wave solutions to a two-parameter model for water waves." Journal of Fluid Mechanics 342 (July 10, 1997): 199–229. http://dx.doi.org/10.1017/s0022112097005193.

Full text

Abstract:

The model equationformula herearises as the equation for solitary-wave solutions to a fifth-order long-wave equation for gravity–capillary water waves. Being Hamiltonian, reversible and depending upon two parameters, it shares the structure of the full steady water-wave problem. Moreover, all known analytical results for local bifurcations of solitary-wave solutions to the full water-wave problem have precise counterparts for the model equation.At the time of writing two major open problems for steady water waves are attracting particular attention. The first concerns the possible existence of solitary waves of elevation as local bifurcation phenomena in a particular parameter regime; the second, larger, issue is the determination of the global bifurcation picture for solitary waves. Given that the above equation is a good model for solitary waves of depression, it seems natural to study the above issues for this equation; they are comprehensively treated in this article.The equation is found to have branches of solitary waves of elevation bifurcating from the trivial solution in the appropriate parameter regime, one of which is described by an explicit solution. Numerical and analytical investigations reveal a rich global bifurcation picture including multi-modal solitary waves of elevation and depression together with interactions between the two types of wave. There are also new orbit-flip bifurcations and associated multi-crested solitary waves with non-oscillatory tails.

APA, Harvard, Vancouver, ISO, and other styles

25

Wang, Zhan, Emilian I. Părău, Paul A. Milewski, and Jean-Marc Vanden-Broeck. "Numerical study of interfacial solitary waves propagating under an elastic sheet." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2168 (August 8, 2014): 20140111. http://dx.doi.org/10.1098/rspa.2014.0111.

Full text

Abstract:

Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an ice-covered ocean. The fluid consists of two layers of constant densities, separated by an interface. The elastic sheet resists bending forces and is mathematically described by a fully nonlinear thin shell model. Fully localized solitary waves are computed via a boundary integral method. Progression along the various branches of solutions shows that barotropic (i.e. surface modes) wave-packet solitary wave branches end with the free surface approaching the interface. On the other hand, the limiting configurations of long baroclinic (i.e. internal) solitary waves are characterized by an infinite broadening in the horizontal direction. Baroclinic wave-packet modes also exist for a large range of amplitudes and generalized solitary waves are computed in a case of a long internal mode in resonance with surface modes. In contrast to the pure gravity case (i.e without an elastic cover), these generalized solitary waves exhibit new Wilton-ripple-like periodic trains in the far field.

APA, Harvard, Vancouver, ISO, and other styles

26

Kenyon, Kern E. "Stability of Solitary Waves." Physics Essays 14, no. 3 (September 2001): 266–69. http://dx.doi.org/10.4006/1.3025492.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Chen, Yijiang, and Javid Atai. "Parametric spatial solitary waves." Optics Letters 19, no. 17 (September 1, 1994): 1287. http://dx.doi.org/10.1364/ol.19.001287.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Craig, Walter, and Peter Sternberg. "Symmetry of solitary waves." Communications in Partial Differential Equations 13, no. 5 (January 1988): 603–33. http://dx.doi.org/10.1080/03605308808820554.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Stoychev, K. T., M. T. Primatarowa, and K. Marinov. "Exciton-polariton solitary waves." European Physical Journal B - Condensed Matter 29, no. 2 (September 1, 2002): 301–4. http://dx.doi.org/10.1140/epjb/e2002-00305-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Părău, Emilian I. "Solitary interfacial hydroelastic waves." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2111 (December 11, 2017): 20170099. http://dx.doi.org/10.1098/rsta.2017.0099.

Full text

Abstract:

Solitary waves travelling along an elastic plate present between two fluids with different densities are computed in this paper. Different two-dimensional configurations are considered: the upper fluid can be of infinite extent, bounded by a rigid wall or under a second elastic plate. The dispersion relation is obtained for each case and numerical codes based on integro-differential formulations for the full nonlinear problem are derived. This article is part of the theme issue ‘Nonlinear water waves’.

APA, Harvard, Vancouver, ISO, and other styles

31

Puerta, J., and P. Martin. "Bi-dust solitary waves." Journal of Physics: Conference Series 370 (June 19, 2012): 012042. http://dx.doi.org/10.1088/1742-6596/370/1/012042.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Vanden-Broeck, J. M., and Joseph B. Keller. "Surfing on solitary waves." Journal of Fluid Mechanics 198, no. -1 (January 1989): 115. http://dx.doi.org/10.1017/s0022112089000066.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Poladian, L., A. W. Snyder, and D. J. Mitchell. "Low-interaction solitary waves." Optics Communications 91, no. 1-2 (July 1992): 97–98. http://dx.doi.org/10.1016/0030-4018(92)90108-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Guoxiang, Huang, Lou Senyue, and Dai Xianxi. "Cylindrical envelope solitary waves." Chinese Physics Letters 7, no. 9 (September 1990): 398–401. http://dx.doi.org/10.1088/0256-307x/7/9/005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Lanzano, Paolo. "Solitary waves of vortices." Earth, Moon, and Planets 69, no. 3 (1995): 271–83. http://dx.doi.org/10.1007/bf00643788.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Sutherland, B. R., K. J. Barrett, and G. N. Ivey. "Shoaling internal solitary waves." Journal of Geophysical Research: Oceans 118, no. 9 (September 2013): 4111–24. http://dx.doi.org/10.1002/jgrc.20291.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Ryskin, Nikita. "Solitary space-charge waves." Izvestiya VUZ. Applied Nonlinear Dynamics 2, no. 3 (March 3, 1994): 84–92. https://doi.org/10.18500/0869-6632-1994-2-5-84-92.

Full text

Abstract:

Solitary space-charge waves on a cylindrical electron beam, moving in a metal waveguide are studied. The beam is assumed to be charge-neutralized and focused by a strong external magnetic field. Exact solitary wave solutions in an implicit form are obtained and their breaking conditions are determined. Processes of solitary waves ехitation and interaction are examined numerically. Overtaking collisions, in which the waves travel in the same direction when viewed from the beam frame (i.e., collisions of two fast or two slow waves), are found to be almost elastic. On the other hand, the «head-on» collisions between two waves, which move in the opposite directions (i.e., the fast wave and the slow wave), do not preserve the waveforms and velocities and produce an oscillatory tail.

APA, Harvard, Vancouver, ISO, and other styles

38

Khaled, Mahmood A. H., Ibrahim G. H. Loqman, and Kauther I. Alkuhlani. "PROPAGATION OF ION ACOUSTIC WAVES IN A MAGNETIZED QUANTUM PLASMA IN THE PRESENCE OF EXCHANGE-CORRELATION EFFECTS." Electronic Journal of University of Aden for Basic and Applied Sciences 3, no. 2 (June 30, 2022): 84–92. http://dx.doi.org/10.47372/ejua-ba.2022.2.156.

Full text

Abstract:

The nonlinear propagation of ion acoustic solitary waves are studied in a magnetized quantum plasma consisting of cold inertia ions and inertialless quantum electrons and positrons, including exchange-correlation effects., A Zakharov-Kuznetsov equation is derived by using the reductive perturbation method. The effects of quantum plasma parameters on the propagation characteristics of the ion acoustic solitary waves have been investigated. It is found that the phase velocity, amplitude and width of the solitary waves are significantly affected by the presence of exchange-correlation potentials of electron and positron. Only solitary wave width effected by both quantum diffraction and magnetic field strength. The width of the solitary waves increases with the increase of both the quantum diffraction and magnetic field strength. The increase in the positron concentration causes to diminish both the solitary waves amplitude and width. The current results may be useful to understand the properties of ion acoustic waves propagating in dense space plasma environments where the quantum effects are expected to dominate.

APA, Harvard, Vancouver, ISO, and other styles

39

LIU, ZHENGRONG, and JIBIN LI. "BIFURCATIONS OF SOLITARY WAVES AND DOMAIN WALL WAVES FOR KdV-LIKE EQUATION WITH HIGHER ORDER NONLINEARITY." International Journal of Bifurcation and Chaos 12, no. 02 (February 2002): 397–407. http://dx.doi.org/10.1142/s0218127402004425.

Full text

Abstract:

Bifurcations of solitary waves and domain wall waves for a KdV-like equation with higher order nonlinearity are studied, by using bifurcation theory of planar dynamical systems. Bifurcation parameter sets are shown. Numbers of solitary waves and domain wall waves are given. Under some parameter conditions, a lot of explicit formulas of solitary wave solutions and domain wall solutions are obtained.

APA, Harvard, Vancouver, ISO, and other styles

40

Gavrilov, N., V. Liapidevskii, and K. Gavrilova. "Mass and momentum transfer by solitary internal waves in a shelf zone." Nonlinear Processes in Geophysics 19, no. 2 (April 3, 2012): 265–72. http://dx.doi.org/10.5194/npg-19-265-2012.

Full text

Abstract:

Abstract. The evolution of large amplitude internal waves propagating towards the shore and more specifically the run up phase over the "swash" zone is considered. The mathematical model describing the generation, interaction, and decaying of solitary internal waves of the second mode in the interlayer is proposed. The exact solution specifying the shape of solitary waves symmetric with respect to the unperturbed interface is constructed. It is shown that, taking into account the friction on interfaces in the mathematical model, it is possible to describe adequately the change in the phase and amplitude characteristics of two solitary waves moving towards each other before and after their interaction. It is demonstrated that propagation of large amplitude solitary internal waves of depression over a shelf could be simulated in laboratory experiments by internal symmetric solitary waves of the second mode.

APA, Harvard, Vancouver, ISO, and other styles

41

Pickett, J. S., L. J. Chen, S. W. Kahler, O. Santolík, M. L. Goldstein, B. Lavraud, P. M. E. Décréau, et al. "On the generation of solitary waves observed by Cluster in the near-Earth magnetosheath." Nonlinear Processes in Geophysics 12, no. 2 (February 2, 2005): 181–93. http://dx.doi.org/10.5194/npg-12-181-2005.

Full text

Abstract:

Abstract. Through case studies involving Cluster waveform observations, solitary waves in the form of bipolar and tripolar pulses have recently been found to be quite abundant in the near-Earth dayside magnetosheath. We expand on the results of those previous studies by examining the distribution of solitary waves from the bow shock to the magnetopause using Cluster waveform data. Cluster's orbit allows for the measurement of solitary waves in the magnetosheath from about 10 RE to 19.5 RE. Our results clearly show that within the magnetosheath, solitary waves are likely to be observed at any distance from the bow shock and that this distance has no dependence on the time durations and amplitudes of the solitary waves. In addition we have found that these same two quantities show no dependence on either the ion velocity or the angle between the ion velocity and the local magnetic field direction. These results point to the conclusion that the solitary waves are probably created locally in the magnetosheath at multiple locations, and that the generation mechanism is most likely not solely related to ion dynamics, if at all. To gain insight into a possible local generation mechanism, we have examined the electron differential energy flux characteristics parallel and perpendicular to the magnetic field, as well as the local electron plasma and cyclotron frequencies and the type of bow shock that Cluster is behind, for several time intervals where solitary waves were observed in the magnetosheath. We have found that solitary waves are most likely to be observed when there are counterstreaming (~parallel and anti-parallel to the magnetic field) electrons at or below about 100eV. However, there are times when these counterstreaming electrons are present when solitary waves are not. During these times the background magnetic field strength is usually very low (<10nT), implying that the amplitudes of the solitary waves, if present, would be near or below those of other waves and electrostatic fluctuations in this region making it impossible to isolate or clearly distinguish them from these other emissions in the waveform data. Based on these results, we have concluded that some of the near-Earth magnetosheath solitary waves, perhaps in the form of electron phase-space holes, may be generated locally by a two-stream instability involving electrons based on the counterstreaming electrons that are often observed when solitary waves are present. We have not ruled out the possibility that the solitary waves could be generated as a result of the lower-hybrid Buneman instability in the presence of an electron beam, through the electron acoustic mode or through processes involving turbulence, which is almost always present in the magnetosheath, but these will be examined in a more comprehensive study in the future.

APA, Harvard, Vancouver, ISO, and other styles

42

Su, Chau-Hsing, and Qi-su Zou. "Waves generated by collisions of solitary waves." Physical Review A 35, no. 11 (June 1, 1987): 4738–42. http://dx.doi.org/10.1103/physreva.35.4738.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Wu, Yun, and Zhengrong Liu. "Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation." Advances in Mathematical Physics 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/812120.

Full text

Abstract:

We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equationut+au2+bu4ux+γuxxx+δuxyy=0. We reveal four kinds of interesting bifurcation phenomena. The first kind is that the low-kink waves can be bifurcated from the symmetric solitary waves, the 1-blow-up waves, the tall-kink waves, and the antisymmetric solitary waves. The second kind is that the 1-blow-up waves can be bifurcated from the periodic-blow-up waves, the symmetric solitary waves, and the 2-blow-up waves. The third kind is that the periodic-blow-up waves can be bifurcated from the symmetric periodic waves. The fourth kind is that the tall-kink waves can be bifurcated from the symmetric periodic waves.

APA, Harvard, Vancouver, ISO, and other styles

44

LIU, RUI, and WEIFANG YAN. "SOME COMMON EXPRESSIONS AND NEW BIFURCATION PHENOMENA FOR NONLINEAR WAVES IN A GENERALIZED mKdV EQUATION." International Journal of Bifurcation and Chaos 23, no. 03 (March 2013): 1330007. http://dx.doi.org/10.1142/s0218127413300073.

Full text

Abstract:

Using the bifurcation method of dynamical systems, we study nonlinear waves in the generalized mKdV equation ut + a(1 + bu2)u2ux + uxxx = 0. (i) We obtain four types of new expressions. The first type is composed of four common expressions of the symmetric solitary waves, the kink waves and the blow-up waves. The second type includes four common expressions of the anti-symmetric solitary waves, the kink waves and the blow-up waves. The third type is made of two trigonometric expressions of periodic-blow-up waves. The fourth type is composed of two fractional expressions of 1-blow-up waves. (ii) We point out that there are two sets of kink waves which are called tall-kink waves and low-kink waves, respectively. (iii) We reveal two kinds of new bifurcation phenomena. The first phenomenon is that the low-kink waves can be bifurcated from four types of nonlinear waves, the symmetric solitary waves, blow-up waves, tall-kink waves and anti-symmetric solitary waves. The second phenomenon is that the 1-blow-up waves can be bifurcated from the periodic-blow-up waves. We also show that the common expressions include many results given by pioneers.

APA, Harvard, Vancouver, ISO, and other styles

45

Zhang, Weiguo, Xu Chen, Zhengming Li, and Haiyan Zhang. "Orbital Stability of Solitary Waves for Generalized Symmetric Regularized-Long-Wave Equations with Two Nonlinear Terms." Journal of Applied Mathematics 2014 (2014): 1–16. http://dx.doi.org/10.1155/2014/963987.

Full text

Abstract:

This paper investigates the orbital stability of solitary waves for the generalized symmetric regularized-long-wave equations with two nonlinear terms and analyzes the influence of the interaction between two nonlinear terms on the orbital stability. SinceJis not onto, Grillakis-Shatah-Strauss theory cannot be applied on the system directly. We overcome this difficulty and obtain the general conclusion on orbital stability of solitary waves in this paper. Then, according to two exact solitary waves of the equations, we deduce the explicit expression of discriminationd′′(c)and give several sufficient conditions which can be used to judge the orbital stability and instability for the two solitary waves. Furthermore, we analyze the influence of the interaction between two nonlinear terms of the equations on the wave speed interval which makes the solitary waves stable.

APA, Harvard, Vancouver, ISO, and other styles

46

LAMB, KEVIN G. "Shoaling solitary internal waves: on a criterion for the formation of waves with trapped cores." Journal of Fluid Mechanics 478 (March 10, 2003): 81–100. http://dx.doi.org/10.1017/s0022112002003269.

Full text

Abstract:

Shoaling solitary internal waves are ubiquitous features in the coastal regions of the world's oceans where waves with a core of recirculating fluid (trapped cores) can provide an effective transport mechanism. Here, numerical evidence is presented which suggests that there is a close connection between the limiting behaviour of large-amplitude solitary waves and the formation of such waves via shoaling. For some background states, large-amplitude waves are broad, having a nearly horizontal flow in their centre. The flow in the centre of such waves is called a conjugate flow. For other background states, large-amplitude waves can reach the breaking limit, at which the maximum current in the wave is equal to the wave's propagation speed. The presence of a background current with near-surface vorticity of the same sign as that induced by the wave can change the limiting behaviour from the conjugate-flow limit to the breaking limit. Numerical evidence is presented here which suggests that if large solitary waves cannot reach the breaking limit in the shallow water, that is if the background flow has a conjugate flow, then waves with trapped cores will not be formed via shoaling. It is also shown that, due to a change in the limiting behaviour of large waves, an appropriate background current can enable the formation of waves with trapped cores in stratifications for which such waves are not formed in the absence of a background current.

APA, Harvard, Vancouver, ISO, and other styles

47

LAGET, O., and F. DIAS. "Numerical computation of capillary–gravity interfacial solitary waves." Journal of Fluid Mechanics 349 (October 25, 1997): 221–51. http://dx.doi.org/10.1017/s0022112097006861.

Full text

Abstract:

Two types of capillary–gravity interfacial solitary waves are computed numerically: ‘classical’ solitary waves which bifurcate from a uniform flow at a critical value of the velocity and solitary waves in the form of wave packets which bifurcate from a train of infinitesimal periodic waves with equal phase and group velocities. The effects of finite amplitude are shown to be quite different from the pure gravity case for the classical solitary waves. The solitary waves in the form of wave packets, which are known to exist for small density ratios, are shown to exist even for larger density ratios, but only at finite amplitude. The numerical code is based on an integro-differential formulation of the full Euler equations. The experimental results of Koop & Butler (1981), which have been compared earlier with results from model equations, are compared with the present numerical results.

APA, Harvard, Vancouver, ISO, and other styles

48

YANG, T. S., and T. R. AKYLAS. "On asymmetric gravity–capillary solitary waves." Journal of Fluid Mechanics 330 (January 10, 1997): 215–32. http://dx.doi.org/10.1017/s0022112096003643.

Full text

Abstract:

Symme tric gravity–capillary solitary waves with decaying oscillatory tails are known to bifurcate from infinitesimal periodic waves at the minimum value of the phase speed where the group velocity is equal to the phase speed. In the small-amplitude limit, these solitary waves may be interpreted as envelope solitons with stationary crests and are described by the nonlinear Schrödinger (NLS) equation to leading order. In line with this interpretation, it would appear that one may also co nstruct asymmetric solitary waves by shifting the carrier oscillations relative to the envelope of a symmetric solitary wave. This possibility is examined here on the basis of the fifth-order Korteweg–de Vries (KdV) equation, a model for g ravity–capillary waves on water of finite depth when the Bond number is close to 1/3. Using techniques of exponential asymptotics beyond all orders of the NLS theory, it is shown that asymmetric solitary waves of the form suggested by the NLS theory in fact are not possible. On the other hand, an infinity of symmetric and asymmetric solitary-wave solution families comprising two or more NLS solitary wavepackets bifurcate at finite values of the amplitude parameter. The asymptotic results are consistent with numerical solutions of the fifth-order KdV equation. Moreover, the asymptotic theory suggests that such multi-packet gravity–capillary solitary waves also exist in the full water-wave problem near the minimum of t he phase speed.

APA, Harvard, Vancouver, ISO, and other styles

49

Il'ichev, A. T. "Solitary and generalized solitary waves in dispersive media." Journal of Applied Mathematics and Mechanics 61, no. 4 (January 1997): 587–600. http://dx.doi.org/10.1016/s0021-8928(97)00076-2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Shi, Yunlong, Baoshu Yin, Hongwei Yang, Dezhou Yang, and Zhenhua Xu. "Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/643652.

Full text

Abstract:

We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids. By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt-Vaisala frequency, andβeffect are important factors to form the envelope solitary Rossby waves. By employing trial function method, the asymptotic solution of dissipative nonlinear Schrödinger equation is derived. Based on the solution, the effect of dissipation on the evolution of envelope solitary Rossby wave is also discussed. The results show that the dissipation causes a slow decrease of amplitude of envelope solitary Rossby waves and a slow increase of width, while it has no effect on the propagation velocity. That is quite different from the KdV-type solitary waves. It is notable that dissipation has certain influence on the carrier frequency.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!