Relevant bibliographies by topics / Nonlinear wave theories / Journal articles
To see the other types of publications on this topic, follow the link: Nonlinear wave theories.

Journal articles on the topic 'Nonlinear wave theories'

Author: Grafiati
Published: 28 June 2021
Last updated: 29 July 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 'Nonlinear wave theories.'

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

Nigama Prasan Sahoo. "Investigating the Role of Nonlinearity in Plasma Wave Dynamics: Theoretical and Computational Perspectives." Advances in Nonlinear Variational Inequalities 28, no. 4s (2025): 366–79. https://doi.org/10.52783/anvi.v28.3338.

Full text
Abstract:
Plasma waves are fundamental for understanding many plasma phenomena, and at high enough amplitudes, the wave can also become nonlinear and complex. Research on nonlinear dynamics of plasma waves is critical for many applications, including fusion energy, space physics and plasma engineering. Theoretical aspects of nonlinear plasma wave propagation: wave packets, solitons, modulation instability, and wave-particle interaction. We generalize the standard theories of plasma waves to include non-linear terms and discuss how these non-linear equations can be solved numerically. We further discuss
APA, Harvard, Vancouver, ISO, and other styles
2

Zhang, Huichen, and Markus Brühl. "GENERATION OF EXTREME TRANSIENT WAVES IN EXPERIMENTAL MODELS." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 51. http://dx.doi.org/10.9753/icce.v36.waves.51.

Full text
Abstract:
The transfer of natural waves and sea states into small- and large-scale model teste contributes to the proper design of offshore and coastal structure. Such shallow-water ocean surface waves are highly nonlinear and subject to wave transformation and nonlinear wave-wave interactions. However, the standard methods of wave generation according to conventional wave theories and wave analysis methods are limited to simple regular waves, simple sea states and low-order wave generation without considering the nonlinear wave-wave interactions. The research project Generation of Extreme Transient Wav
APA, Harvard, Vancouver, ISO, and other styles
3

Johnson, R. S. "Edge waves: theories past and present." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 365, no. 1858 (2007): 2359–76. http://dx.doi.org/10.1098/rsta.2007.2013.

Full text
Abstract:
The problem of edge waves as an example within classical water-wave theory is described by presenting an overview of some of the theories that have been offered for this phenomenon. The appropriate governing equations and boundary conditions are formulated, and then the important discoveries of Stokes and Ursell, concerning the travelling edge wave, are presented. (We do not address the corresponding problem of standing waves.) Thus, the linear problem and its spectrum are constructed; in addition, we also present the linear long-wave approximation to the problem, as well as Whitham's weakly n
APA, Harvard, Vancouver, ISO, and other styles
4

Hardy, Thomas A., and Nicholas C. Kraus. "COUPLING STOKES AND CNOIDAL WAVE THEORIES IN A NONLINEAR REFRACTION MODEL." Coastal Engineering Proceedings 1, no. 21 (1988): 42. http://dx.doi.org/10.9753/icce.v21.42.

Full text
Abstract:
An efficient numerical model is presented for calculating the refraction and shoaling of finite-amplitude waves over an irregular sea bottom. The model uses third-order Stokes wave theory in relatively deep water and second-order cnoidal wave theory in relatively shallow water. It can also be run using combinations of lower-order wave theories, including a pure linear wave mode. The problem of the connection of Stokes and cnoidal theories is investigated, and it is found that the use of second-order rather than first-order cnoidal theory greatly reduces the connection discontinuity. Calculatio
APA, Harvard, Vancouver, ISO, and other styles
5

Eldrup, Mads Røge, and Thomas Lykke Andersen. "Applicability of Nonlinear Wavemaker Theory." Journal of Marine Science and Engineering 7, no. 1 (2019): 14. http://dx.doi.org/10.3390/jmse7010014.

Full text
Abstract:
Generation of high-quality waves is essential when making numerical or physically model tests. When using a wavemaker theory outside the validity area, spurious waves are generated. In order to investigate the validity of different wave generation methods, new model test results are presented where linear and nonlinear wave generation theories are tested on regular and irregular waves. A simple modification to the second-order wavemaker theory is presented, which significantly reduces the generation of spurious waves when used outside its range of applicability. For highly nonlinear regular wa
APA, Harvard, Vancouver, ISO, and other styles
6

Vakakis, A. F. "Scattering of Structural Waves by Nonlinear Elastic Joints." Journal of Vibration and Acoustics 115, no. 4 (1993): 403–10. http://dx.doi.org/10.1115/1.2930364.

Full text
Abstract:
An analytic study of the scattering of structural waves by nonlinear elastic joints is presented. Under the assumption of small nonlinearities and/or amplitudes of motion, an averaging methodology is implemented for analyzing the interaction between an incident wave and a nonlinear joint with symmetric stiffness. It is found that, contrary to the predictions of existing linear theories, a single incident wave gives rise to an infinity of reflected waves with frequencies equal to odd multiples of the frequency of the incident wave. The orders of magnitude of the amplitudes of the various reflec
APA, Harvard, Vancouver, ISO, and other styles
7

RAVAL, ASHISH, XIANYUN WEN, and MICHAEL H. SMITH. "Numerical simulation of viscous, nonlinear and progressive water waves." Journal of Fluid Mechanics 637 (September 23, 2009): 443–73. http://dx.doi.org/10.1017/s002211200999070x.

Full text
Abstract:
A numerical simulation is performed to study the velocity, streamlines, vorticity and shear stress distributions in viscous water waves with different wave steepness in intermediate and deep water depth when the average wind velocity is zero. The numerical results present evidence of ‘clockwise’ and ‘anticlockwise’ rotation of the fluid at the trough and crest of the water waves. These results show thicker vorticity layers near the surface of water wave than that predicted by the theories of inviscid rotational flow and the low Reynolds number viscous flow. Moreover, the magnitude of vorticity
APA, Harvard, Vancouver, ISO, and other styles
8

Zimmerman, W. B., and J. M. Rees. "Long solitary internal waves in stable stratifications." Nonlinear Processes in Geophysics 11, no. 2 (2004): 165–80. http://dx.doi.org/10.5194/npg-11-165-2004.

Full text
Abstract:
Abstract. Observations of internal solitary waves over an antarctic ice shelf (Rees and Rottman, 1994) demonstrate that even large amplitude disturbances have wavelengths that are bounded by simple heuristic arguments following from the Scorer parameter based on linear theory for wave trapping. Classical weak nonlinear theories that have been applied to stable stratifications all begin with perturbations of simple long waves, with corrections for weak nonlinearity and dispersion resulting in nonlinear wave equations (Korteweg-deVries (KdV) or Benjamin-Davis-Ono) that admit localized propagatin
APA, Harvard, Vancouver, ISO, and other styles
9

Sánchez-Garrido, J. C., and V. Vlasenko. "Long-term evolution of strongly nonlinear internal solitary waves in a rotating channel." Nonlinear Processes in Geophysics 16, no. 5 (2009): 587–98. http://dx.doi.org/10.5194/npg-16-587-2009.

Full text
Abstract:
Abstract. The evolution of internal solitary waves (ISWs) propagating in a rotating channel is studied numerically in the framework of a fully-nonlinear, nonhydrostatic numerical model. The aim of modelling efforts was the investigation of strongly-nonlinear effects, which are beyond the applicability of weakly nonlinear theories. Results reveal that small-amplitude waves and sufficiently strong ISWs evolve differently under the action of rotation. At the first stage of evolution an initially two-dimensional ISW transforms according to the scenario described by the rotation modified Kadomtsev-
APA, Harvard, Vancouver, ISO, and other styles
10

Huang, Miaomiao, Yinghua Li, and Ziying Pan. "Numerical research on internal solitary waves in stratified fluid." Journal of Physics: Conference Series 2718, no. 1 (2024): 012007. http://dx.doi.org/10.1088/1742-6596/2718/1/012007.

Full text
Abstract:
Abstract Internal solitary waves are a common nonlinear large amplitude internal wave in nature, which can cause strong divergence and sudden strong currents in seawater during propagation, thus having great destructive effects on marine structures. The paper focuses on numerical wave generation based on three types of internal solitary wave theories. The waves are numerical simulated by RANS method in the paper. The numerical results of internal solitary wave theories are compared and analyzed. It shows that under the same numerical water tank scale and calculation conditions, the mKdV theory
APA, Harvard, Vancouver, ISO, and other styles
11

Liu, C. M., H. H. Hwung, and R. Y. Yang. "The Consistence Between the Stokes Wave Theory and General Wave Theory." Journal of Mechanics 25, no. 3 (2009): N17—N20. http://dx.doi.org/10.1017/s172771910000280x.

Full text
Abstract:
AbstractThe consistence between the Stokes wave theory and general wave theory is examined in this study. As well known, the nonlinear terms of Stokes wave are generated by the self-interaction of first-order wave. On the other side, using the general wave theory one can also obtain the nonlinear solutions according to the interaction of n waves with the same amplitude, frequency and phase. It is found that the inconsistence between these two wave trains arises due to the subharmonic effects included in general wave theory but not considered in the Stokes theory. In conclusion, these two theor
APA, Harvard, Vancouver, ISO, and other styles
12

Engelbrecht, J., and M. Braun. "Nonlinear Waves in Nonlocal Media." Applied Mechanics Reviews 51, no. 8 (1998): 475–88. http://dx.doi.org/10.1115/1.3099016.

Full text
Abstract:
This review article gives a brief overview on nonlocal theories in solid mechanics from the viewpoint of wave motion. The influence of two essential qualities of solids—nonlocality and nonlinearity—is discussed. The effects of microstructure are analyzed in order to understand their role in nonlocal theories. The various models are specified on the level of one-dimensional unidirectional motion in order to achieve mathematical clarity of interpreting physical phenomena. Three main types of evolution equations are shown to govern deformation waves under such assumptions. Based on the dispersion
APA, Harvard, Vancouver, ISO, and other styles
13

Rahman, Matiur, and Lokenath Debnath. "Nonlinear diffraction of water waves by offshore stuctures." International Journal of Mathematics and Mathematical Sciences 9, no. 4 (1986): 625–52. http://dx.doi.org/10.1155/s0161171286000807.

Full text
Abstract:
This paper is concerned with a variational formulation of a nonaxisymmetric water wave problem. The full set of equations of motion for the problem in cylindrical polar coordinates is derived. This is followed by a review of the current knowledge on analytical theories and numerical treatments of nonlinear diffraction of water waves by offshore cylindrical structures. A brief discussion is made on water waves incident on a circular harbor with a narrow gap. Special emphasis is given to the resonance phenomenon associated with this problem. A new theoretical analysis is also presented to estima
APA, Harvard, Vancouver, ISO, and other styles
14

Gavrilov, N. M., and S. P. Kshevetskii. "Verifications of the nonlinear numerical model and polarization relations of atmospheric acoustic-gravity waves." Geoscientific Model Development Discussions 7, no. 6 (2014): 7805–22. http://dx.doi.org/10.5194/gmdd-7-7805-2014.

Full text
Abstract:
Abstract. Comparisons of amplitudes of wave variations of atmospheric characteristics simulated using direct numerical simulation models with polarization relations given by conventional theories of linear acoustic-gravity waves (AGWs) could be helpful for testing these numerical models. In this study, we performed high-resolution numerical simulations of nonlinear AGW propagation at altitudes 0–500 km from a plane wave forcing at the Earth's surface and compared them with analytical polarization relations of linear AGW theory. After some transition time te (increasing with altitude) subsequen
APA, Harvard, Vancouver, ISO, and other styles
15

Yoon, Sung B., and Philip L. F. Liu. "WAVE AND CURRENT INTERACTIONS IN SHALLOW WATER." Coastal Engineering Proceedings 1, no. 20 (1986): 125. http://dx.doi.org/10.9753/icce.v20.125.

Full text
Abstract:
Interactions between waves and currents are common and important phenomena in the coastal zone. Coastal currents, such as longshore currents, rip currents, and river flows, can significantly change wave heights and directions of wave propagation. Consequently, the design for shoreline protection measures must be adjusted accordingly. Various theories for wave-current interactions exist and have been reviewed by Peregrine and Jonsson (1983). Most of these theories are developed for large-scale currents where the length-scale for the current variation is much greater than the typical wavelength.
APA, Harvard, Vancouver, ISO, and other styles
16

Willcocks, B. T., and J. G. Esler. "Nonlinear Baroclinic Equilibration in the Presence of Ekman Friction." Journal of Physical Oceanography 42, no. 2 (2012): 225–42. http://dx.doi.org/10.1175/jpo-d-11-0112.1.

Full text
Abstract:
Abstract Two theories for the nonlinear equilibration of baroclinic waves in a two-layer fluid in a β channel are tested by comparison with high-resolution numerical simulations. Predictions are tested for a range of parameters (β, κ), where the inverse criticality β measures the degree of instability and the quasigeostrophic Ekman number κ measures the strength of Ekman friction. The first theory, from Warn, Gauthier, and Pedlosky (WGP), is formally valid for marginally unstable waves at κ = 0. The second, from Romea, is formally valid for nonzero κ and for waves that are marginally stable wi
APA, Harvard, Vancouver, ISO, and other styles
17

Hattori, Masataro. "EXPERIMENTAL STUDY ON THE VALIDITY RANGE OF VARIOUS WAVE THEORIES." Coastal Engineering Proceedings 1, no. 20 (1986): 18. http://dx.doi.org/10.9753/icce.v20.18.

Full text
Abstract:
In the design of coastal structures and the study of nearshore dynamics, rational predictions of the wave kinematics are very important but difficult procedures. Although a large number of nonlinear wave theories have been proposed and used for computing the wave kinematics, there are no theories applicable from the deep water to very shallow water. It is, therefore, very important for coastal researchers and engineers to know which of theories describe well a wave field specified by the wave characteristics and water depth, and to select a particular wave theory for a problem of interest. Man
APA, Harvard, Vancouver, ISO, and other styles
18

Liu, Jiaqi, Masoud Hayatdavoodi, and R. Cengiz Ertekin. "A Comparative Study on Generation and Propagation of Nonlinear Waves in Shallow Waters." Journal of Marine Science and Engineering 11, no. 5 (2023): 917. http://dx.doi.org/10.3390/jmse11050917.

Full text
Abstract:
This study is concerned with the generation and propagation of strongly nonlinear waves in shallow water. A numerical wave flume is developed where nonlinear waves of solitary and cnoidal types are generated by use of the Level I Green-Naghdi (GN) equations by a piston-type wavemaker. Waves generated by the GN theory enter the domain where the fluid motion is governed by the Navier–Stokes equations to achieve the highest accuracy for wave propagation. The computations are performed in two dimensions, and by an open source computational fluid dynamics package, namely OpenFoam. Comparisons are m
APA, Harvard, Vancouver, ISO, and other styles
19

Noonan, Julie, and Roger Smith. "Linear and weakly nonlinear internal wave theories applied to "morning glory" waves." Geophysical & Astrophysical Fluid Dynamics 33, no. 1 (1985): 123–43. http://dx.doi.org/10.1080/03091928508240749.

Full text
APA, Harvard, Vancouver, ISO, and other styles
20

Noonan, Julie A., and Roger K. Smith. "Linear and weakly nonlinear internal wave theories applied to “morning glory” waves." Geophysical & Astrophysical Fluid Dynamics 33, no. 1-4 (1985): 123–43. http://dx.doi.org/10.1080/03091928508245426.

Full text
APA, Harvard, Vancouver, ISO, and other styles
21

Zhu, Ling, and Qin Chen. "Attenuation of Nonlinear Waves by Rigid Vegetation: Comparison of Different Wave Theories." Journal of Waterway, Port, Coastal, and Ocean Engineering 143, no. 5 (2017): 04017029. http://dx.doi.org/10.1061/(asce)ww.1943-5460.0000415.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Miesen, R. H. M. "Applying weakly nonlinear internal wave theories to solitary waves in the atmosphere." Journal of Atmospheric and Terrestrial Physics 54, no. 3-4 (1992): 363–72. http://dx.doi.org/10.1016/0021-9169(92)90016-e.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

Elfouhaily, Tanos, D. R. Thompson, D. Vandemark, and B. Chapron. "Truncated Hamiltonian versus surface perturbation in nonlinear wave theories." Waves in Random Media 10, no. 1 (2000): 103–16. http://dx.doi.org/10.1088/0959-7174/10/1/308.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Engelbrecht, J. "Qualitative Aspects of Nonlinear Wave Motion: Complexity and Simplicity." Applied Mechanics Reviews 46, no. 12 (1993): 509–18. http://dx.doi.org/10.1115/1.3120312.

Full text
Abstract:
The nonlinear wave processes possess many qualitative properties which cannot be described by linear theories. In this presentation, an attempt is made to systematize the main aspects of this fascinating area. The sources of nonlinearities are analyzed in order to understand why and how the nonlinear mathematical models are formulated. The technique of evolution equations is discussed then as a main mathematical tool to separate multiwave processes into single waves. The evolution equations give concise but in many cases sufficient description of wave processes in solids permitting to analyze
APA, Harvard, Vancouver, ISO, and other styles
25

Smit, P. B., T. T. Janssen, and T. H. C. Herbers. "Nonlinear Wave Kinematics near the Ocean Surface." Journal of Physical Oceanography 47, no. 7 (2017): 1657–73. http://dx.doi.org/10.1175/jpo-d-16-0281.1.

Full text
Abstract:
AbstractEstimation of second-order, near-surface wave kinematics is important for interpretation of ocean surface remote sensing and surface-following instruments, determining loading on offshore structures, and understanding of upper-ocean transport processes. Unfortunately, conventional wave theories based on Stokes-type expansions do not consider fluid motions at levels above the unperturbed fluid level. The usual practice of extrapolating the fluid kinematics from the unperturbed free surface to higher points in the fluid is generally reasonable for narrowband waves, but for broadband ocea
APA, Harvard, Vancouver, ISO, and other styles
26

Chian, Abraham C. L. "Nonlinear Temporal Model for Formation of Pulsar Microstructures." International Astronomical Union Colloquium 128 (1992): 356–61. http://dx.doi.org/10.1017/s0002731600155520.

Full text
Abstract:
AbstractA nonlinear plasma model which may account for temporal modulation of pulsar radio pulses is presented. Envelope solitons and envelope nonlinear wave trains can result from the nonlinear interaction of the high-frequency coherent pulsar radiation with the pulsar magnetosphere. Theories of electromagnetic envelope solitons and electromagnetic envelope nonlinear wave trains in electronpositron plasmas are reviewed. The application of this model for observation of pulsar microstructures is discussed.
APA, Harvard, Vancouver, ISO, and other styles
27

Barreto, W., H. P. de Oliveira, and E. L. Rodrigues. "Nonlinear interaction between electromagnetic and gravitational waves: An appraisal." International Journal of Modern Physics D 26, no. 12 (2017): 1743017. http://dx.doi.org/10.1142/s0218271817430179.

Full text
Abstract:
Wave propagation of field disturbances is ubiquitous. The electromagnetic and gravitational are cousin theories in which the corresponding waves play a relevant role to understand several related physical aspects. It has been established that small electromagnetic waves can generate gravitational waves and vice versa when scattered by a charged black hole. In the realm of cylindrical spacetimes, we present here a simple nonlinear effect of the conversion of electromagnetic to gravitational waves reflected by the amount of mass extracted from them.
APA, Harvard, Vancouver, ISO, and other styles
28

Doak, A., T. Gao, J. M. Vanden-Broeck, and J. J. S. Kandola. "Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields." Quarterly Journal of Mechanics and Applied Mathematics 73, no. 3 (2020): 231–50. http://dx.doi.org/10.1093/qjmam/hbaa009.

Full text
Abstract:
Summary In this article, we consider capillary-gravity waves propagating on the interface of two dielectric fluids under the influence of normal electric fields. The density of the upper fluid is assumed to be much smaller than the lower one. Linear and weakly nonlinear theories are studied. The connection to the results in other limit configurations is discussed. Fully nonlinear computations for travelling wave solutions are achieved via a boundary integral equation method. Periodic waves, solitary waves and generalised solitary waves are presented. The bifurcation of generalised solitary wav
APA, Harvard, Vancouver, ISO, and other styles
29

Pinel, J., and S. Lovejoy. "Atmospheric waves as scaling, turbulent phenomena." Atmospheric Chemistry and Physics Discussions 13, no. 6 (2013): 14797–822. http://dx.doi.org/10.5194/acpd-13-14797-2013.

Full text
Abstract:
Abstract. It is paradoxical that while atmospheric dynamics are highly nonlinear and turbulent that atmospheric waves are commonly modelled by linear or weakly nonlinear theories. We postulate that the laws governing atmospheric waves are on the contrary high Reynold's number (Re), emergent laws so that – in common with the emergent high Re turbulent laws – they are also constrained by scaling symmetries. We propose an effective turbulence – wave propagator which corresponds to a fractional and anisotropic extension of the classical wave equation propagator with dispersion relations similar to
APA, Harvard, Vancouver, ISO, and other styles
30

Pinel, J., and S. Lovejoy. "Atmospheric waves as scaling, turbulent phenomena." Atmospheric Chemistry and Physics 14, no. 7 (2014): 3195–210. http://dx.doi.org/10.5194/acp-14-3195-2014.

Full text
Abstract:
Abstract. It is paradoxical that, while atmospheric dynamics are highly nonlinear and turbulent, atmospheric waves are commonly modelled by linear or weakly nonlinear theories. We postulate that the laws governing atmospheric waves are in fact high-Reynolds-number (Re), emergent laws so that – in common with the emergent high-Re turbulent laws – they are also constrained by scaling symmetries. We propose an effective turbulence–wave propagator which corresponds to a fractional and anisotropic extension of the classical wave equation propagator, with dispersion relations similar to those of ine
APA, Harvard, Vancouver, ISO, and other styles
31

Ölmez, H. S., and J. H. Milgram. "Nonlinear energy transfer to short gravity waves in the presence of long waves." Journal of Fluid Mechanics 289 (April 25, 1995): 199–226. http://dx.doi.org/10.1017/s0022112095001303.

Full text
Abstract:
Existing theories for calculating the energy transfer rates to gravity waves due to resonant nonlinear interactions among wave components whose lengths are long in comparison to wave elevations have been verified experimentally and are well accepted. There is uncertainty, however, about prediction of energy transfer rates within a set of waves having short to moderate lengths when these are present simultaneously with a long wave whose amplitude is not small in comparison to the short wavelengths. Here we implement both a direct numerical method that avoids small-amplitude approximations and a
APA, Harvard, Vancouver, ISO, and other styles
32

Bhushan, S., F. Stern, and L. J. Doctors. "Verification and Validation of URANS Wave Resistance for Air Cushion Vehicles, and Comparison With Linear Theory." Journal of Ship Research 55, no. 04 (2011): 249–67. http://dx.doi.org/10.5957/jsr.2011.55.4.249.

Full text
Abstract:
Verification and validation of URANS wave-resistance predictions for straight-ahead and yawed air-cushion vehicles in calm deep and shallow water are performed. The nonlinear and linear theories are compared to explicate their trends for large cushion pressures, water depth, and cushion dimensions, and the nonlinear theory sinkage and trim trends are discussed. The grid-verification study shows monotonically converged solutions with averaged uncertainty of 4% and 10% for straight-ahead motion in deep and shallow water, respectively. URANS predictions agree with the experimental data to within
APA, Harvard, Vancouver, ISO, and other styles
33

Rushchitsky, J. J. "Interaction of Waves in Solid Mixtures." Applied Mechanics Reviews 52, no. 2 (1999): 35–74. http://dx.doi.org/10.1115/1.3098925.

Full text
Abstract:
The focus of this review article is on analytical procedures and physical effects which are characteristic of the theory of nonlinear and simple waves in materials. Waves are supposed to propagate in composite materials, which are modeled as solid two-phase mixtures. It is shown how procedures of wave interaction investigations in nonlinear acoustics, optics and radiophysics are applied to nonlinear mechanics of materials with a microstructure. Main effects of the interactions of waves in composite materials: new harmonics generation, self-generation, evolution and distortion, synchronization,
APA, Harvard, Vancouver, ISO, and other styles
34

Deguchi, Kengo, and Andrew Walton. "Bifurcation of nonlinear Tollmien–Schlichting waves in a high-speed channel flow." Journal of Fluid Mechanics 843 (March 16, 2018): 53–97. http://dx.doi.org/10.1017/jfm.2018.137.

Full text
Abstract:
Plane Poiseuille flow has long served as the simplest testing ground for Tollmien–Schlichting wave instability. In this paper, we provide a comprehensive comparison of equilibrium Tollmien–Schlichting wave solutions arising from new high-resolution Navier–Stokes calculations and the corresponding predictions of various large-Reynolds-number asymptotic theories developed in the last century, such as double-deck theory, viscous nonlinear critical layer theory and strongly nonlinear critical layer theory. In the relatively small to moderate amplitude regime, the theories excellently predict the b
APA, Harvard, Vancouver, ISO, and other styles
35

Itoi, C., and M. Kato. "Equivalence in spin wave theories." Journal of Physics A: Mathematical and General 27, no. 8 (1994): 2915–22. http://dx.doi.org/10.1088/0305-4470/27/8/027.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Kânoğlu, Utku, Vasily V. Titov, Baran Aydın, et al. "Focusing of long waves with finite crest over constant depth." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2153 (2013): 20130015. http://dx.doi.org/10.1098/rspa.2013.0015.

Full text
Abstract:
Tsunamis are long waves that evolve substantially, through spatial and temporal spreading from their source region. Here, we introduce a new analytical solution to study the propagation of a finite strip source over constant depth using linear shallow-water wave theory. This solution is not only exact, but also general and allows the use of realistic initial waveforms such as N -waves. We show the existence of focusing points for N -wave-type initial displacements, i.e. points where unexpectedly large wave heights may be observed. We explain the effect of focusing from a strip source analytica
APA, Harvard, Vancouver, ISO, and other styles
37

Bensimon, D., Paul Kolodner, C. M. Surko, Hugh Williams, and V. Croquette. "Competing and coexisting dynamical states of travelling-wave convection in an annulus." Journal of Fluid Mechanics 217 (August 1990): 441–67. http://dx.doi.org/10.1017/s0022112090000799.

Full text
Abstract:
We describe experiments on convection in binary fluid mixtures in a large-aspect-ratio annular container. In this geometry, the convective rolls align radially and travel azimuthally, providing a model of travelling waves in an extended one-dimensional nonlinear dynamical system. Several different stable non-equilibrium states can be produced in this experiment, and the competition between them leads to a wide variety of steady and time-dependent behaviour. The observed spatiotemporal behaviour may shed light on recent theories of the nature of stable nonlinear travelling-wave convection, the
APA, Harvard, Vancouver, ISO, and other styles
38

Leary, Matthew, Curtis Rusch, Zhe Zhang, and Bryson Robertson. "Comparison and Validation of Hydrodynamic Theories for Wave Energy Converter Modelling." Energies 14, no. 13 (2021): 3959. http://dx.doi.org/10.3390/en14133959.

Full text
Abstract:
Dynamic Wave Energy Converter (WEC) models utilize a wide variety of fundamental hydrodynamic theories. When incorporating novel hydrodynamic theories into numerical models, there are distinct impacts on WEC rigid body motions, cable dynamics, and final power production. This paper focuses on developing an understanding of the influence several refined hydrodynamic theories have on WEC dynamics, including weakly nonlinear Froude-Krylov and hydrostatic forces, body-to-body interactions, and dynamic cable modelling. All theories have evolved from simpler approaches and are of importance to a wid
APA, Harvard, Vancouver, ISO, and other styles
39

Yao, L. S., and S. Ghosh Moulic. "Taylor-Couette Instability With a Continuous Spectrum." Journal of Applied Mechanics 62, no. 4 (1995): 915–23. http://dx.doi.org/10.1115/1.2896022.

Full text
Abstract:
Nonlinear evolution of a continuous spectrum of unstable waves near the first bifurcation point in circular Couette flow has been investigated. The disturbance is represented by a Fourier integral over all possible axial wave numbers, and an integrodif-ferential equation for the amplitude-density function of a continuous spectrum is derived. The equations describing the evolution of monochromatic waves and slowly varying wave packets of classical weakly nonlinear instability theories are shown to be special limiting cases. Numerical integration of the integrodifferential equation shows that th
APA, Harvard, Vancouver, ISO, and other styles
40

Hara, Tetsu, and Chiang C. Mei. "Frequency downshift in narrowbanded surface waves under the influence of wind." Journal of Fluid Mechanics 230 (September 1991): 429–77. http://dx.doi.org/10.1017/s002211209100085x.

Full text
Abstract:
It is well known that the spectral peak of wind-induced gravity waves on the sea surface tends to shift to lower frequencies as the fetch increases. In past theories the nonlinear dynamics subsequent to Benjamin–Feir instability has been found to initiate the downshift in narrow-banded waves in the absence of wind. However, these weakly nonlinear theories all predict the downshift to be only the first phase of an almost cyclic process. Limited by the length of a wave tank, existing experiments are usually made with relatively steep waves which often break. Although there is a theory on how bre
APA, Harvard, Vancouver, ISO, and other styles
41

Tobita, Miwa, and Yoshiharu Omura. "Scattering of energetic electrons through nonlinear cyclotron resonance with coherent whistler-mode hiss emissions." Physics of Plasmas 29, no. 11 (2022): 112901. http://dx.doi.org/10.1063/5.0106004.

Full text
Abstract:
Recent observations have revealed that plasmaspheric hiss consists of many discrete waves called “hiss elements.” However, the interaction of energetic electrons (10 keV to several MeV) with the plasmaspheric hiss has only been simulated by the quasilinear (QL) diffusion theory, which does not take the fine wave structure into account. The QL theory cannot address nonlinear particle motions determined by the inhomogeneity factor, which influences the scattering of electrons in pitch angle and energy. This study aims to identify differences between the nonlinear wave–particle interaction and QL
APA, Harvard, Vancouver, ISO, and other styles
42

Barut, A. O., and P. Rusu. "On the wave-particle-like solutions of nonlinear equations." Canadian Journal of Physics 67, no. 2-3 (1989): 100–105. http://dx.doi.org/10.1139/p89-015.

Full text
Abstract:
The problem of interpreting moving soliton solutions of some nonlinear equations as quantum-like particles is critically analyzed. Purely classical equations (sine-Gordon) as well as nonlinear quantum equations (Schrödinger, Dirac, Kelin–Gordon) are investigated. Three different definitions of energy associated with these equations are considered, and the functional relations replacing the de Broglie postulate, [Formula: see text], are explicitly given. Our analysis shows that fundamental problems generated by the nonlinear approach to quantum mechanics are still unsolved, and these theories h
APA, Harvard, Vancouver, ISO, and other styles
43

Lo, Edmond, and Chiang C. Mei. "A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation." Journal of Fluid Mechanics 150 (January 1985): 395–416. http://dx.doi.org/10.1017/s0022112085000180.

Full text
Abstract:
In existing experiments it is known that the slow evolution of nonlinear deep-water waves exhibits certain asymmetric features. For example, an initially symmetric wave packet of sufficiently large wave slope will first lean forward and then split into new groups in an asymmetrical manner, and, in a long wavetrain, unstable sideband disturbances can grow unequally to cause an apparent downshift of carrier-wave frequency. These features lie beyond the realm of applicability of the celebrated cubic Schrödinger equation (CSE), but can be, and to some extent have been, predicted by weakly nonlinea
APA, Harvard, Vancouver, ISO, and other styles
44

SHUGAN, IGOR, and KONSTANTIN VOLIAK. "On phase kinks, negative frequencies, and other third-order peculiarities of modulated surface waves." Journal of Fluid Mechanics 368 (August 10, 1998): 321–38. http://dx.doi.org/10.1017/s0022112098001803.

Full text
Abstract:
Numerous laboratory and field experiments on nonlinear surface wave trains propagating in deep water (Lake & Yuen 1978; Ramamonjiarisoa & Mollo-Christensen 1979; Mollo-Christensen & Ramamonjiarisoa 1982; Melville 1983) have showed a specific wave modulation that so far has not been explained by nonlinear theories. Typical effects were the so-called wave phase reversals, negative frequencies, and crest pairing, experimentally observed in some portions of the modulated wave train. In the present paper, in order to explain these modulation manifestations, the equations for wavenumber,
APA, Harvard, Vancouver, ISO, and other styles
45

Guedes Soares, C., and T. E. Schellin. "Nonlinear Effects on Long-Term Distributions of Wave-Induced Loads for Tankers." Journal of Offshore Mechanics and Arctic Engineering 120, no. 2 (1998): 65–70. http://dx.doi.org/10.1115/1.2829525.

Full text
Abstract:
A method of long-term formulation of the nonlinear wave-induced vertical load effects on ships was applied to three tanker hulls of different sizes. For large tanker hulls, the nonlinear effect is not significant, and thus linear theories can continue to be used for earlier studies on these kind of ships, contrary to what was shown earlier for containership hulls. However, for smaller tankers, significant nonlinear values were obtained, with both sagging and hogging nonlinear results being larger than the linear ones.
APA, Harvard, Vancouver, ISO, and other styles
46

Bertolotti, F. P., Th Herbert, and P. R. Spalart. "Linear and nonlinear stability of the Blasius boundary layer." Journal of Fluid Mechanics 242 (September 1992): 441–74. http://dx.doi.org/10.1017/s0022112092002453.

Full text
Abstract:
Two new techniques for the study of the linear and nonlinear instability in growing boundary layers are presented. The first technique employs partial differential equations of parabolic type exploiting the slow change of the mean flow, disturbance velocity profiles, wavelengths, and growth rates in the streamwise direction. The second technique solves the Navier–Stokes equation for spatially evolving disturbances using buffer zones adjacent to the inflow and outflow boundaries. Results of both techniques are in excellent agreement. The linear and nonlinear development of Tollmien–Schlichting
APA, Harvard, Vancouver, ISO, and other styles
47

韩, 清鹏. "Comparative Analyses of PP Wave Intervals Based on Nonlinear Chaotic Theories." Applied Physics 02, no. 03 (2012): 72–76. http://dx.doi.org/10.12677/app.2012.23012.

Full text
APA, Harvard, Vancouver, ISO, and other styles
48

Mockutė, Agota, Enzo Marino, Claudio Lugni, and Claudio Borri. "Comparison of Nonlinear Wave-Loading Models on Rigid Cylinders in Regular Waves." Energies 12, no. 21 (2019): 4022. http://dx.doi.org/10.3390/en12214022.

Full text
Abstract:
Monopiles able to support very large offshore wind turbines are slender structures susceptible to nonlinear resonant phenomena. With the aim to better understand and model the wave-loading on these structures in very steep waves where ringing occurs and the numerical wave-loading models tend to lose validity, this study investigates the distinct influences of nonlinearities in the wave kinematics and in the hydrodynamic loading models. Six wave kinematics from linear to fully nonlinear are modelled in combination with four hydrodynamic loading models from three theories, assessing the effects
APA, Harvard, Vancouver, ISO, and other styles
49

Malara, F., and M. Velli. "Wave-Based Heating Mechanisms for the Solar Corona." International Astronomical Union Colloquium 144 (1994): 443–51. http://dx.doi.org/10.1017/s025292110002577x.

Full text
Abstract:
AbstractDissipation of MHD waves generated in the lower solar atmosphere has long been proposed as a means to heat the solar corona. Because of the extremely low dissipation coefficients of the coronal plasma large gradients are necessary to efficiently dissipate such waves. Interactions with the inhomogeneities of the background medium may represent a way to create small scale structures, phase-mixing and resonant absorption being important examples. The generalization of such ideas to propagation in complex geometries (e.g., containing X type neutral points) and the extension to nonlinear ef
APA, Harvard, Vancouver, ISO, and other styles
50

Gavrilov, N. M., S. P. Kshevetskii, and A. V. Koval. "Verifications of the high-resolution numerical model and polarization relations of atmospheric acoustic-gravity waves." Geoscientific Model Development 8, no. 6 (2015): 1831–38. http://dx.doi.org/10.5194/gmd-8-1831-2015.

Full text
Abstract:
Abstract. Comparisons of amplitudes of wave variations of atmospheric characteristics obtained using direct numerical simulation models with polarization relations given by conventional theories of linear acoustic-gravity waves (AGWs) could be helpful for testing these numerical models. In this study, we performed high-resolution numerical simulations of nonlinear AGW propagation at altitudes 0–500 km from a plane wave forcing at the Earth's surface and compared them with analytical polarization relations of linear AGW theory. After some transition time te (increasing with altitude) subsequent
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Nonlinear wave theories' for other source types:
Dissertations / Theses Books
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!

To the bibliography