Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation

被引：9
|
作者：
Shen, JW [1 ]
Xu, W
Jin, YF
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
[2] Xuchang Univ, Dept Math, Xuchang 461000, Henan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 171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; WBK equations; bifurcation theory; dynamical systems;
D O I：
10.1016/j.amc.2005.01.078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using bifurcation method to Whitham-Broer-Kaup shallow water equations, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions, kink wave solutions and periodic wave solutions are listed. (c) 2005 Elsevier Inc. All rights reserved.
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页码：677 / 702
页数：26
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