Kink-Like Wave and Compacton-Like Wave Solutions for a Two-Component Fornberg-Whitham Equation

被引：0

作者：

Li, Shaoyong ^{[1
]}

Song, Ming ^{[2
,3
]}

机构：

[1] Shaoguan Univ, Sch Math & Informat Sci, Shaoguan 512005, Guangdong, Peoples R China

[2] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

[3] Yuxi Normal Univ, Dept Math, Fac Sci, Yuxi 653100, Yunnan, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

F-EXPANSION METHOD; TRAVELING-WAVES;

D O I：

10.1155/2014/621918

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using bifurcation method and numerical simulation approach of dynamical systems, we study a two-component Fornberg-Whitham equation. Two types of bounded traveling wave solutions are found, that is, the kink-like wave and compacton-like wave solutions. The planar graphs of these solutions are simulated by using software Mathematica; meanwhile, two new phenomena are revealed; that is, the periodic wave solution can become the kink-like wave or compacton-like wave solution under some conditions, respectively. Exact implicit or parameter expressions of these solutions are given.

引用

页数：13

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