Results 1 to 10 of about 3,869 (265)
Solitary wave solutions of two KdV-type equations
Open Physics, 2018 The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
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Results in Physics, 2021 Stable soliton solutions for the nonlinear Klein–Gordon equation in condensed matter physics, particle physics, nonlinear optics, solid state physics and the gas dynamics equation ensuing in shock fronts have been established by putting use of the sine ...
Md. Abdul Kayum +4 more
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AIP Advances, 2021 In this paper, we study the exact solitary wave solutions, periodic wave solutions, and bounded rational function solution of the high-order nonlinear Schrödinger equation and the evolutional relationships between the solitary and periodic wave solutions
Weiguo Zhang +3 more
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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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Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation [PDF]
Mathematics Interdisciplinary Research, 2019 By using bifurcation theory of planar dynamical systems, we classify all bounded travelling wave solutions of the general Burgers-Boussinesq equation, and we give their corresponding phase portraits.
Rasool Kazemi, Masoud Mossadeghi
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Frontiers in Applied Mathematics and Statistics, 2022 In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
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Existence and nonlinear stability of solitary wave solutions for coupled Schrodinger-KdV systems
Electronic Journal of Differential Equations, 2021 In this article, we consider the existence and nonlinear stability of the solitary wave solutions to the coupled Schrodinger-KdV system. By using the undetermined coefficient method, we construct the exact solitary wave solutions.
Pengxue Cui, Shuguan Ji
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Traveling wave solutions of the Gardner equation in dusty plasmas
Results in Physics, 2022 In this paper, we mainly study the Gardner equation that models the propagation of dust ion acoustic waves. By using the Exp-function method, abundant traveling wave solutions like bright solitary, bright-dark solitary, dark solitary (type-1, type-2 ...
Kang-Jia Wang
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New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation
Abstract and Applied Analysis, 2013 By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained.
XiaoHua Liu, CaiXia He
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Results in Physics, 2016 The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
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