Results 21 to 30 of about 155,027 (310)
Discrete Dynamics in Nature and Society, 2021 In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized
Zhao Li, Peng Li, Tianyong Han
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Two-Component Breather Solution of the Nonlinear Wave Equation
SSRN Electronic Journal, 2023 arXiv admin note: text overlap with arXiv:2107 ...
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Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrödinger equations [PDF]
The European Physical Journal Plus, 2021 In this paper, we present the two-dimensional generalized nonlinear Schrödinger equations with the Lax pair. These equations are related to many physical phenomena in the Bose-Einstein condensates, surface waves in deep water and nonlinear optics. The existence of the Lax pair defines integrability for the partial differential equation, so the two ...
Cestmir Burdik +2 more
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Existence of solitary wave solutions for internal waves in two-layer systems
Quarterly of Applied Mathematics, 2019 The aim of this paper is to establish the existence of solitary wave solutions for two classes of two-layer systems modeling the propagation of internal waves. More precisely we will consider the Boussinesq-Full dispersion system and the Intermediate Long Wave (ILW) system together with its Benjamin-Ono (BO) limit.
Pava, Jaime Angulo, Saut, Jean-Claude
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Journal of Ocean Engineering and Science, 2022 The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar +2 more
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Curvelets, Wave Atoms, and Wave Equations [PDF]
, 2006 We argue that two specific wave packet families---curvelets and wave atoms---provide powerful tools for representing linear systems of hyperbolic differential equations with smooth, time-independent coefficients.
Demanet, Laurent
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Alexandria Engineering Journal, 2023 The generalized Hirota-Satsuma coupled KdV system with fractional-order derivative plays a significant role to simulate the interaction of nearby identical-weight particles in a crystal lattice structure, two long waves interaction with different ...
H.M. Shahadat Ali +4 more
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A comparison of solutions of two convolution-type unidirectional wave equations
Applicable Analysis, 2022 In this work, we prove a comparison result for a general class of nonlinear dispersive unidirectional wave equations. The dispersive nature of one-dimensional waves occurs because of a convolution integral in space. For two specific choices of the kernel function, the Benjamin-Bona-Mahony equation and the Rosenau equation that are particularly suitable
Erbay, Hüsnü A. +2 more
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Two-component analogue of two-dimensional long wave–short wave resonance interaction equations: a derivation and solutions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 16 pages, 9 figures, revised version; The pdf file including all figures: http://www.math.utpa.edu/kmaruno/yajima ...
Ohta, Yasuhiro +2 more
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Dynamical structures of exact soliton solutions to Burgers’ equation via the bilinear approach
Partial Differential Equations in Applied Mathematics, 2021 The Cole–Hopf transformation is used to search for exact multiple wave solutions of Burgers’ equation. Particularly, solitary wave solutions and their interaction solutions are explicitly given, and a fission phenomenon is found, which is tough to be ...
M. Belal Hossen +2 more
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