Applications of the first integral method to nonlinear evolution equations

doi:10.1088/1674-1056/19/8/080201

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80201-080201.doi: 10.1088/1674-1056/19/8/080201

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Applications of the first integral method to nonlinear evolution equations

Filiz Tacşcan and Ahmet Bekir

Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics, Eskisehir-TüRKIYE

收稿日期:2009-12-14 修回日期:2009-12-31 出版日期:2010-08-15 发布日期:2010-08-15

Applications of the first integral method to nonlinear evolution equations

Filiz Tacscan^† and Ahmet Bekir

Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics, Eskisehir-TüRKIYE

Received:2009-12-14 Revised:2009-12-31 Online:2010-08-15 Published:2010-08-15

摘要/Abstract

摘要： 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 rst integral method presents a wider applicability to handling nonlinear wave equations.

关键词: travelling wave solutions, first integral method, modified Benjamin–Bona–Mahony equation, coupled Klein–Gordon equation

Abstract: 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 rst integral method presents a wider applicability to handling nonlinear wave equations.

Key words: travelling wave solutions, first integral method, modified Benjamin–Bona–Mahony equation, coupled Klein–Gordon equation

中图分类号: (Solitons)

05.45.Yv

02.30.Jr (Partial differential equations) 02.30.Rz (Integral equations)

Filiz Ta, scan, Ahmet Bekir. Applications of the first integral method to nonlinear evolution equations[J]. 中国物理B, 2010, 19(8): 80201-080201.

Filiz Tacscan and Ahmet Bekir . Applications of the first integral method to nonlinear evolution equations[J]. Chin. Phys. B, 2010, 19(8): 80201-080201.

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Applications of the first integral method to nonlinear evolution equations

Applications of the first integral method to nonlinear evolution equations

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