Bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation

被引：11

作者：

Fan, Xinghua ^{[1
]}

Yang, Shouxiang ^{[1
]}

Yin, Jiuli ^{[1
]}

Tian, Lixin ^{[2
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China

[2] Jiangsu Univ, Nonlinear Sci Res Ctr, Zhenjiang 212013, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Two-component Fornberg-Whitham equation; Solitary wave solution; Bifurcation method; Soliton; Kink solution; Antikink solution; CAMASSA-HOLM;

D O I：

10.1016/j.cnsns.2011.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two-component Fornberg-Whitham equation is introduced as a model for water waves. The bifurcations of traveling wave solutions are studied. Parametric conditions to smooth soliton solution, kink solution, antikink solution and uncountable infinite many smooth periodic wave solutions are given. Some expressions for those solutions are presented. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：3956 / 3963

页数：8

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