Results 11 to 20 of about 3,508 (166)

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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Mathematical methods via construction of traveling and solitary wave solutions of three coupled system of nonlinear partial differential equations and their applications

Results in Physics, 2018
In this research work, we applying the modification form of extended auxiliary equation mapping method on three couple system of nonlinear ovulation equations which have odd and even partial derivatives.
Dianchen Lu, Aly R. Seadawy, Mujahid Iqbal   +2 more
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Onset of the broad-ranging general stable soliton solutions of nonlinear equations in physics and gas dynamics

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, Shamim Ara, M.S. Osman, M. Ali Akbar, Khaled A. Gepreel   +4 more
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Exact solitary and periodic wave solutions of high-order nonlinear Schrödinger equation and their relationship with Hamilton energy

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, Yuli Guo, Siyu Hong, Xingqian Ling   +3 more
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Solitary wave solutions of a Whitham–Boussinesq system [PDF]

Nonlinear Analysis: Real World Applications, 2021
The travelling wave problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system firstly appeared in [Dinvay, Dutykh, Kalisch 2018], where it was numerically shown to be stable and a good approximation to the incompressible Euler equations.
E. Dinvay, D. Nilsson
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Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations

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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The Application of the Functional Variable Method for Solving the Loaded Non-linear Evaluation Equations

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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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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Solitary wave solutions to the Isobe‐Kakinuma model for water waves [PDF]

Studies in Applied Mathematics, 2020
AbstractWe consider the Isobe‐Kakinuma model for two‐dimensional water waves in the case of a flat bottom. The Isobe‐Kakinuma model is a system of Euler‐Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show theoretically the existence of a family of small amplitude solitary wave solutions to the Isobe‐Kakinuma ...
Colin, Mathieu, Higuchi, Tatsuo
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