Bifurcation of traveling wave solutions of (2+1) dimensional Konopelchenko-Dubrovsky equations

被引：16
作者：
He, Tian-lan [1 ]
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 02期
基金：
中国国家自然科学基金;
关键词：
(2+1) Dimensional Konopelchenko-Dubrovsky equations; The bifurcation theory of planar dynamical systems; The bounded traveling wave solutions;
D O I：
10.1016/j.amc.2008.07.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The bifurcation theory method of planar dynamical systems is efficiently employed to find the bounded traveling wave solutions of the (2 + 1) dimensional Konopelchenko-Dubrovsky equations. The bifurcation parameter sets and the corresponding phase portraits are given. Under different parameter conditions, the exact explicit parametric representations of solitary wave solutions, kink (anti-kink) wave solutions and periodic wave solutions are obtained. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：773 / 783
页数：11
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