title: The modified alternative (G'/G)-expansion method to nonlinear evolution equation: application to the (1+1)-dimensional Drinfel'd-Sokolov-Wilson equation.
abstract: Over the years, (G'/G)-expansion method is employed to generate traveling wave solutions to various wave equations in mathematical physics. In the present paper, the alternative (G'/G)-expansion method has been further modified by introducing the generalized Riccati equation to construct new exact solutions. In order to illustrate the novelty and advantages of this approach, the (1+1)-dimensional Drinfel'd-Sokolov-Wilson (DSW) equation is considered and abundant new exact traveling wave solutions are obtained in a uniform way. These solutions may be imperative and significant for the explanation of some practical physical phenomena. It is shown that the modified alternative (G'/G)-expansion method an efficient and advance mathematical tool for solving nonlinear partial differential equations in mathematical physics.
authors.affiliation: Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh ; School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia.
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
authors.forename: Norhashidah Hj
authors.initials: NH
authors.lastname: Mohd Ali
authors.forename: Syed Tauseef
authors.initials: ST
authors.lastname: Mohyud-Din
keywords: (G’/G)-expansion method; 02.30.Ik; 02.30.Jr; 05.45.Yv; DSW equation; Nonlinear evolution equations; Travelling wave solutions