Explicit solutions of nonlinear wave equation systems

doi:10.1088/1674-1056/22/1/010202

Abstract We apply the (G'/G)-expansion method to solve two systems of nonlinear differential equation and construct traveling wave solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. We highlight the power of the (G'/G)-expansion method in providing generalized solitary wave solutions of different physical structures. It is shown that (G'/G)-expansion method is very effective and provides a powerful mathematical tool to solve nonlinear differential equation systems in mathematical physics.

Keywords: (G'/G)-expansion method long-short-wave interaction system coupled integrable dispersionless system

Received: 19 April 2012
Revised: 26 July 2012
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.70.Wz	(Symbolic computation (computer algebra))
	05.45.Yv	(Solitons)
	94.05.Fg	(Solitons and solitary waves)

Fund: Project supported by the Scientific Research Project of Eskisehir Osmangazi University, Turkey (Grant No. 201019031).

Corresponding Authors: Ahmet Bekir
E-mail: abekir@ogu.edu.tr

Cite this article:

Ahmet Bekir, Burcu Ayhan, M. Naci Özer Explicit solutions of nonlinear wave equation systems 2013 Chin. Phys. B 22 010202

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