EXPLICIT SOLITON SOLUTIONS OF THE KAUP-KUPERSHMIDT EQUATION THROUGH THE DYNAMICAL SYSTEM APPROACH

被引：0
|
作者：
Li, Jibin [1 ,2 ]
Qiao, Zhijun [3 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan, Peoples R China
[3] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2011年 / 1卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Soliton solution; quasi-periodic solution; periodic solution; Kaup-Kupershmidt equation; homoclinic manifold; center manifold;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the traveling wave solutions of the Kaup-Kupershmidt (KK) equation through using the dynamical system approach, which is an integrable fifth-order wave equation. Based on Cosgrove's work [3] and the phase analysis method of dynamical systems, infinitely many soliton solutions are presented in an explicit form. To guarantee the existence of soliton solutions, we discuss the parameters range as well as geometrical explanation of soliton solutions.
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页码：243 / 250
页数：8
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