Travelling Wave Solutions of the General Regularized Long Wave Equation

In this paper, we study the bifurcation and exact travelling wave solutions of the general regularized long wave (GRLW) equation. Based on the bifurcation theory of dynamical system, the various exact solutions are obtained. We consider the cases: p = 2 n + 1 and p = 2 n respectively. It is shown th...

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Published in:Qualitative theory of dynamical systems 2021-04, Vol.20 (1), Article 8
Main Authors: Zheng, Hang, Xia, Yonghui, Bai, Yuzhen, Wu, Luoyi
Format: Article
Language:English
Subjects:
Bifurcation theory
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Exact solutions
Mathematics
Mathematics and Statistics
Traveling waves
Wave equations
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description In this paper, we study the bifurcation and exact travelling wave solutions of the general regularized long wave (GRLW) equation. Based on the bifurcation theory of dynamical system, the various exact solutions are obtained. We consider the cases: p = 2 n + 1 and p = 2 n respectively. It is shown that GRLW equation has extra kink and anti-kink wave solutions when p = 2 n + 1 , while it’s not for p = 2 n .
doi_str_mv 10.1007/s12346-020-00442-w
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subjects Bifurcation theory
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Exact solutions
Mathematics
Mathematics and Statistics
Traveling waves
Wave equations
title Travelling Wave Solutions of the General Regularized Long Wave Equation
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