BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE GENERALIZED TWO-COMPONENT CAMASSA-HOLM EQUATION

被引：20

作者：

Li, Jibin ^{[1
]}

Qiao, Zhijun ^{[2
]}

机构：

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

[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Generalized two-component Camassa-Holm equation; solitary wave; cusp wave; periodic wave solution; kink wave solution; breaking wave solution; SOLITONS;

D O I：

10.1142/S0218127412503051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the method of dynamical systems to a generalized two-component Camassa-Holm system. Through analysis, we obtain solitary wave solutions, kink and anti-kink wave solutions, cusp wave solutions, breaking wave solutions, and smooth and nonsmooth periodic wave solutions. To guarantee the existence of these solutions, we give constraint conditions among the parameters associated with the generalized Camassa-Holm system. Choosing some special parameters, we obtain exact parametric representations of the traveling wave solutions.

引用

页数：13

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