Bifurcations of travelling wave solutions for a variant of Camassa-Holm equation

被引：40

作者：

He Bin ^{[1
]}

Li Jibin ^{[2
,3
]}

Long Yao ^{[1
]}

Rui Weiguo ^{[1
]}

机构：

[1] Honghe Univ, Dept Math, Mengzi 661100, Peoples R China

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

[3] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 02期

基金：

中国国家自然科学基金;

关键词：

a variant of Camassa-Holm equation; periodic wave; solitary wave; exact solution;

D O I：

10.1016/j.nonrwa.2006.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the theory of planar dynamical systems to a variant of Camassa-Holm equation, the existence of periodic wave and solitary wave is proved. In different regions of the parametric space, the sufficient conditions to guarantee the existence of the above solutions are given. In some conditions, exact parametric representations of these waves in explicit form are obtained. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：222 / 232

页数：11

共 15 条

[1]

[Anonymous], 1981, METHOD BIFURCATION T

[2] Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation [J].