Bifurcation of traveling wave solutions for the BBM-like B(2,2) equation

被引：4

作者：

Jiang, Bo ^{[1
]}

Lu, Yi ^{[2
]}

Ma, Qiang ^{[1
]}

Cao, Yi ^{[1
]}

Zhang, Yunzhi ^{[1
]}

机构：

[1] Jiangsu Teachers Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China

[2] Jiangsu Teachers Univ Technol, Sch Elect & Informat Engn, Changzhou 213001, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 14期

基金：

中国国家自然科学基金;

关键词：

Bifurcation method; Solitary wave solution; Compacton; Peakon; Periodic cusp wave solution; BBM-like B(2,2) equation; LONG WAVES; EXPLICIT; RLW;

D O I：

10.1016/j.amc.2011.12.061

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 method of dynamical systems to investigate the BBM-like B(2,2) equation. The phase portrait bifurcation of the traveling wave system corresponding to the equation is given. Under different parametric conditions, various sufficient conditions to guarantee the existence of smooth and non-smooth traveling wave solutions are given. Through some special phase orbits, Some solitary wave solutions expressed by implicit functions, periodic cusp wave solution, compacton solution and peakon solution are obtained. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

引用

页码：7375 / 7381

页数：7

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