Applications of the first integral method to nonlinear evolution equations

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

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.

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

Received: 14 December 2009
Revised: 31 December 2009
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)
	02.30.Rz	(Integral equations)

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Filiz Tacscan and Ahmet Bekir Applications of the first integral method to nonlinear evolution equations 2010 Chin. Phys. B 19 080201

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