Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system

被引:15
|
作者
Zhou, Jiangbo [1 ]
Tian, Lixin [1 ]
Fan, Xinghua [1 ]
机构
[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Dual equation of the Kaup-Boussinesq system; Solitary-wave solution; Bifurcation method; CAMASSA-HOLM EQUATION; DEGASPERIS-PROCESI EQUATION; PEAKED SOLITONS; BIFURCATIONS; PEAKONS; SMOOTH;
D O I
10.1016/j.nonrwa.2009.11.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we employ the bifurcation theory of planar dynamical systems to investigate the travelling-wave solutions to a dual equation of the Kaup-Boussinesq system. The expressions for smooth solitary-wave solutions are obtained. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:3229 / 3235
页数:7
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