Travelling Wave Solutions of the General Regularized Long Wave Equation

被引：10

作者：

Zheng, Hang ^{[1
,2
]}

Xia, Yonghui ^{[1
]}

Bai, Yuzhen ^{[3
]}

Wu, Luoyi ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Wuyi Univ, Dept Math & Comp, Wuyishan 354300, Fujian, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2021年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

GRLW equation; Exact solutions; Bifurcation; Dynamical system; FINITE-ELEMENT-METHOD; QUADRATIC B-SPLINE; NUMERICAL-SOLUTION; COLLOCATION METHOD; MRLW; SCHEME; MODEL;

D O I：

10.1007/s12346-020-00442-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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=2n+1 and p=2n respectively. It is shown that GRLW equation has extra kink and anti-kink wave solutions when p=2n+1, while it's not for p=2n.

引用

页数：21

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