Bifurcations of travelling wave solutions for a two-component Camassa-Holm equation

被引：23
|
作者：
Li, Ji Bin [1 ,2 ]
Li, Yi Shen [3 ,4 ]
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
[4] Univ Sci & Technol China, Ctr Nonlinear Sci, Hefei 230026, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 08期
基金：
中国国家自然科学基金;
关键词：
solitary wave; kink wave solution; periodic wave solution; breaking wave solution; smoothness of wave;
D O I：
10.1007/s10114-008-6207-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the Method of dynamical systems to the two-component generalization of the Camassa-Holm equation, the existence of solitary wave solutions, kink and anti-kink wave solutions, and uncountably infinite many breaking wave solutions, smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact explicit parametric representations of travelling wave solutions are listed.
引用
收藏
页码：1319 / 1330
页数：12
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