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Academic literature on the topic 'Periodic cusp wave'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Periodic cusp wave"

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Meng, Qing, and Bin He. "Exact Peakon, Compacton, Solitary Wave, and Periodic Wave Solutions for a Generalized KdV Equation." Mathematical Problems in Engineering 2013 (2013): 1–19. http://dx.doi.org/10.1155/2013/602432.

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We employ the approaches of both dynamical system and numerical simulation to investigate a generalized KdV equation, which is presented by Yin (2012). Some peakon, compacton, solitary wave, smooth periodic wave, and periodic cusp wave solutions are obtained, and the planar graphs of the compactons and the periodic cusp waves are simulated.

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Xie, Shaolong, and Bin Gao. "EXACT PERIODIC WAVE SOLUTIONS OF A SINGULAR INTEGRABLE EQUATION." Mathematical Modelling and Analysis 16, no. 1 (2011): 315–25. http://dx.doi.org/10.3846/13926292.2011.580788.

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In this paper, theory of dynamical systems is employed to investigate periodic waves of a singular integrable equation. These periodic waves contain smooth periodic waves, periodic cusp waves and periodic cusp loop waves. Under fixed parameter conditions, their exact parametric expressions are given.

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Long, Yao, and Can Chen. "Existence Analysis of Traveling Wave Solutions for a Generalization of KdV Equation." Mathematical Problems in Engineering 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/462957.

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By using the bifurcation theory of dynamic system, a generalization of KdV equation was studied. According to the analysis of the phase portraits, the existence of solitary wave, cusp wave, periodic wave, periodic cusp wave, and compactons were discussed. In some parametric conditions, exact traveling wave solutions of this generalization of the KdV equation, which are different from those exact solutions in existing references, were given.

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Fan, Feiting, and Xingwu Chen. "Dynamical behavior of traveling waves in a generalized VP-mVP equation with non-homogeneous power law nonlinearity." AIMS Mathematics 8, no. 8 (2023): 17514–38. http://dx.doi.org/10.3934/math.2023895.

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<abstract><p>In this paper, we investigate the dynamical behavior of traveling waves for a generalized Vakhnenko-Parkes-modified Vakhnenko-Parkes (VP-mVP) equation with non-homogeneous power law nonlinearity. By the dynamical systems approach and the singular traveling wave theory, the existence of all possible bounded traveling wave solutions is discussed, including smooth solutions (solitary wave solutions, periodic wave solutions and breaking wave solutions) and non-smooth solutions (solitary cusp wave solutions and periodic cusp wave solutions). We not only obtain all the expli

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DENG, SHENGFU, BOLING GUO, and TINGCHUN WANG. "SOME TRAVELING WAVE SOLITONS OF THE GREEN–NAGHDI SYSTEM." International Journal of Bifurcation and Chaos 21, no. 02 (2011): 575–85. http://dx.doi.org/10.1142/s0218127411028623.

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The traveling wave solutions for an equivalent system of the Green–Naghdi system are considered. The qualitative analysis methods of planar autonomous systems yield their phase portraits. The exact expressions of smooth soliton wave solutions, cusp soliton wave solutions, smooth periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given. These reveal some new properties of the Green–Naghdi system.

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Meng, Qing, and Bin He. "Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation." Discrete Dynamics in Nature and Society 2016 (2016): 1–15. http://dx.doi.org/10.1155/2016/5383527.

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The generalized HD type equation is studied by using the bifurcation method of dynamical systems. From a dynamic point of view, the existence of different kinds of traveling waves which include periodic loop soliton, periodic cusp wave, smooth periodic wave, loop soliton, cuspon, smooth solitary wave, and kink-like wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, all possible exact parametric representations of the bounded waves are presented and their relations are stated.

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LIU, ZHENGRONG, ALI MOHAMMED KAYED, and CAN CHEN. "PERIODIC WAVES AND THEIR LIMITS FOR THE CAMASSA–HOLM EQUATION." International Journal of Bifurcation and Chaos 16, no. 08 (2006): 2261–74. http://dx.doi.org/10.1142/s0218127406016045.

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In this paper, the bifurcation method of dynamical systems is employed to study the Camassa–Holm equation [Formula: see text] We investigate the periodic wave solutions of form u = φ(ξ) which satisfy φ(ξ + T) = φ(ξ), here ξ = x - ct and c, T are constants. Their six implicit expressions and two explicit expressions are obtained. We point out that when the initial values are changed, the periodic waves may become three waves, periodic cusp waves, smooth solitary waves and peakons. Our results give an explanation to the appearance of periodic cusp waves and peakons. Moreover, three sets of graph

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He, Bin, Qing Meng, Jinhua Zhang, and Yao Long. "Periodic Loop Solutions and Their Limit Forms for the Kudryashov-Sinelshchikov Equation." Mathematical Problems in Engineering 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/320163.

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The Kudryashov-Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions. Also, some new exact travelling wave solutions are presented through some special phase orbits.

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Chen, Can, Weiguo Rui, and Yao Long. "Different Kinds of Singular and Nonsingular Exact Traveling Wave Solutions of the Kudryashov-Sinelshchikov Equation in the Special Parametric Conditions." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/456964.

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In this paper, by using the integral bifurcation method, we studied the Kudryashov-Sinelshchikov equation. In the special parametric conditions, some singular and nonsingular exact traveling wave solutions, such as periodic cusp-wave solutions, periodic loop-wave solutions, smooth loop-soliton solutions, smooth solitary wave solutions, periodic double wave solutions, periodic compacton solutions, and nonsmooth peakon solutions are obtained. Further more, the dynamic behaviors of these exact traveling wave solutions are investigated. It is found that the waveforms of some traveling wave solutio

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Li, Jibin, and Lin Jiang. "Exact Solutions and Bifurcations of a Modulated Equation in a Discrete Nonlinear Electrical Transmission Line (I)." International Journal of Bifurcation and Chaos 25, no. 01 (2015): 1550016. http://dx.doi.org/10.1142/s0218127415500169.

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In this paper, we consider a model which is a modulated equation in a discrete nonlinear electrical transmission line. By investigating the dynamical behavior and bifurcations of solutions of the planar dynamical systems, we derive all explicit exact parametric representations of solutions (including smooth solitary wave solutions, smooth periodic wave solutions, peakons, compactons, periodic cusp wave solutions, etc.) under different parameter conditions.

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Books on the topic "Periodic cusp wave"

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Making Feminist Media: Third-Wave Magazines on the Cusp of the Digital Age (Film and Media Studies). Wilfrid Laurier University Press, 2016.

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Book chapters on the topic "Periodic cusp wave"

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Hanson, Clare. "A.S. Byatt’s Biological Reason." In Genetics and the Literary Imagination. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198813286.003.0003.

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Chapter 2 places A.S. Byatt’s four-volume novel sequence the Quartet in the context of Michel Foucault’s The Order of Things, a frequent point of reference for her fiction. It traces her engagement with the question of genetic determinism, which she reads through the lens of a debate between Noam Chomsky and Jean Piaget, and her exploration of alternative theories of ‘soft inheritance’. It notes her interest in neo-Darwinian theories of sex (especially those of John Maynard Smith) and her awareness of the problematic imbrication of these theories with current social assumptions, especially in

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Kennel, Charles F. "Bursty Magnetopause Reconnection and its Consequences." In Convection and Substorms. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195085297.003.0011.

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There is at least one way in which the reconnection model of substorms is unrealistic. Rarely if ever will the interplanetary field rotate southward, stay southward, and remain constant. Even on those infrequent occasions when it does do so, steady reconnection may not be established on the dayside: We will see that dayside reconnection proceeds in bursts even then. How likely is it then that steady convection will be established on the nightside? In the next two chapters, we will fit together observations of bursty convection at the magnetopause, in the polar cap and auroral ionosphere, at va

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Discacciati, Ornella. "Return to the estate as a recurring motifin the works of I.A. Bunin and B.A. Pilnyak." In Russian Estate in the World Context. A.M. Gorky Institute of World literature of the Russian Academy of Sciences, 2020. http://dx.doi.org/10.22455/978-5-9208-0623-9-99-114.

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This paper investigates the novel “The Life of Arseniev” and the novella “Mahogany” by contemporaries-authors Ivan Bunin and Boris Pilnyak, respectively. Although written in the same period, these two multi-faceted literary works were produced in different historical and cultural contexts. The purpose is to identify the underlying characteristics that they share in order to define an invariant model of the “topos of the country estate” in Russian literature on the cusp of the 1920s and 1930s. The conclusion that can be drawn is that, despite the diametrically opposed political milieus in which

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Akçam, Taner. "The Question of Confiscated Armenian Property." In The Young Turks' Crime against Humanity. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691153339.003.0010.

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This chapter illustrates how the deportations left an enormous amount of abandoned Armenian property and possessions in their wake. This posed the question of what policy the government and local officials should take in regard to its preservation or liquidation. The answer of the Unionist government is highly instructive regarding the ultimate aims of their Armenian policy. On the basis of existing Interior Ministry Papers from the period, it can be asserted that the goal of the Committee of Union and Progress (CUP) was not the resettlement of Anatolia's Armenian population and their just com

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Kita, Yoshiko. "Pound’s Vorticist Theory and H.D.’s “Oread”." In Cross-Cultural Ezra Pound. Liverpool University Press, 2021. http://dx.doi.org/10.3828/liverpool/9781949979800.003.0005.

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Yoshiko Kita provides a case study of the intersection of Vorticism, H.D.’s poem, “Oread,” and the prints from the Edo period of the Japanese artist Katsushika Hokusai (1760-1849). Beginning with Pound’s dictum, “The vortex is the point of maximum energy,” Kita juxtaposes H.D.’s poem to three Hokusai watercolors, Mount Fuji at Sea, The Great Wave off Kanagawa, and Mount Fuji in a Sake Cup, in order to illuminate “the affinity and, more importantly, the difference between [Pound’s and H.D.’s] poetic criteria during the formative period of Vorticism.” In what for Kita is the epitome of a cross-c

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Reports on the topic "Periodic cusp wave"

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O’Dea, Annika, and Katherine Brodie. Analysis of beach cusp formation and evolution using high‐frequency 3D lidar scans. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48781.

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Beach cusp characteristics were explored using 15 months of 3D lidar scans collected hourly at the Duck, NC, Field Research Facility. Fourier analyses performed on lidar-derived beach elevation contours generated spatial cusp spectra. Active cusp events identified from the location and magnitude of each spectrum’s peak were used to evaluate conditions during cusp formation and evolution. Cusps primarily developed during normally-incident, long-period, low-energy wave conditions with low frequency spread and reflective beach conditions. Often, however, persistent upper-beach cusps lasted days t

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