Application of ( G G )-expansion method to nonlinear Lienard equation

E  Salehpour; H  Jafari  and N  Kadkhoda

doi:10.17485/ijst/2012/v5i4.2

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Application of ( G G )-expansion method to nonlinear Lienard equation

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2012/v5i4.2

Year: 2012, Volume: 5, Issue: 4, Pages: 1-3

Original Article

Application of ( G G )-expansion method to nonlinear Lienard equation

E. Salehpour¹, H. Jafari² and N. Kadkhoda²

¹ Department of Mathematics,
² Department of Mathematics, University of Mazandaran, [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper, we obtain the exact solutions of Lienard equation using ( G G  )-expansion method. The solutions obtained here are expressed in hyperbolic functions. Our work is motivated by the fact that the ( G G  )-expansion method provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in obtained wider set of solutions as special values then some of previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system.
Keywords: Lienard equation, ( G G  )-expansion method, Hyperbolic function solution