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International Journal of Physical Sciences

International Journal of Physical Sciences Vol. 2(6), pp. 089-094, October 2014 ISSN 2331-1827 ©2014 Academe Research Journals

 

Review

Some new solutions of generalized Drinfel’d–Sokolov–Wilson system using Exp-function method

Kamran Ayub, Qazi Mahmood Ul-Hassan* and Syed Tauseef Mohyud-Din

Department of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt Pakistan.

*Corresponding author. E-mail: qazimahmood@yahoo.com.

Accepted 5 September, 2014

Abstract

In this paper, Exp-function method was used to construct solitary solutions of the generalized Drinfel’d–Sokolov–Wilson (DSW) system. It is shown that the Exp-function method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool to solve nonlinear evolution equations with higher order nonlinearity. It is observed that the suggested scheme is highly reliable and may be extended to other nonlinear differential equations.

Key words: Exp-function method, solitary solution, periodic solution, generalized Drinfel’d-Sokolov-Wilson (DSW) system.