Exact travelling wave solutions for the (n+1)-dimensional double sine- and sinh-Gordon equations

被引：13
|
作者：
Geng, Yixiang [1 ]
He, Tianlan
Li, Jibin
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
[2] Qujing Normal Univ, Dept Math, Qujing 655000, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 02期
基金：
中国国家自然科学基金;
关键词：
solitary wave solution; kink and anti-kink wave solution; periodic wave solution; theory of bifurcation; double sine- and sinh-Gordon equations;
D O I：
10.1016/j.amc.2006.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For the (n + 1)-dimensional double sine- and sinh-Gordon equations, by using the approach of dynamical systems to the travelling wave solutions, in different regions of the parameter space, all possible bounded solutions (solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions, et al.) are obtained. Explicit exact parametric representations are given. (c) 2006 Elsevier Inc. All rights reserved.
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页码：1513 / 1534
页数：22
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