Applications of the first integral method to nonlinear evolution equations

In this paper, we establish travelling wave solutions for some nonlinear evolution equations. The first integral method is used to construct the travelling wave solutions of the modified Benjamin-Bona-Mahony and the coupled Klein-Gordon equations. The obtained results include periodic and solitary w...

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Bibliographic Details
Published in:Chinese physics B 2010-08, Vol.19 (8), p.24-27
Main Authors: Tascan, Filiz, Bekir, Ahmet
Format: Article
Language:English
Subjects:
Construction
Integrals
Klein
Materials handling
Mathematical analysis
Nonlinear evolution equations
Nonlinearity
Solitary waves
Traveling waves
孤立波解
应用
积分法
行波解
适用性
非线性波动方程
非线性演化方程
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Summary:In this paper, we establish travelling wave solutions for some nonlinear evolution equations. The first integral method is used to construct the travelling wave solutions of the modified Benjamin-Bona-Mahony and the coupled Klein-Gordon equations. The obtained results include periodic and solitary wave solutions. The first integral method presents a wider applicability to handling nonlinear wave equations.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/8/080201