Travelling wave solutions for a second order wave equation of KdV type

被引：5
|
作者：
Long Yao [1 ]
Li Ji-bin
Rui Wei-guo
He Bin
机构：
[1] Honghe Univ, Dept Math, Mengzi 661100, Yunnan Prov, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang Prov, Peoples R China
[3] Kunming Univ Sci & Technol, Sch Sci, Kunming 650093, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2007年 / 28卷 / 11期
基金：
中国国家自然科学基金;
关键词：
solitary wave solution; periodic wave solution; kink wave and anti-kink wave solutions; smooth and non-smooth periodic waves;
D O I：
10.1007/s10483-007-1105-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of planar dynamical systems is used to study the dynamical behaviours of travelling wave solutions of a nonlinear wave equations of KdV type. In different regions of the parametric space, sufficient conditions to guarantee the existence of solitary wave solutions, periodic wave solutions, kink and anti-kink wave solutions are given. All possible exact explicit parametric representations are obtained for these waves.
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页码：1455 / 1465
页数：11
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