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Research Article Open access CC BY 4.0

Enhanced (G'/G) -Expansion Method and Its Application to the Drinfel’d-Sokolov - Wilson Equation

Mahmoud A. M. Abdelaziz, Ibrahim M. E. Abdelstar

Physical Science International Journal · pp. 1–22 · Published 23 Nov 2015

10.9734/PSIJ/2016/21742

Abstract

An enhanced of the (G'/G) -expansion method combined with Liu's theorem is proposed to construct new exact solutions of the nonlinear (1+1)-dimensional Drinfel'd-Sokolov-Wilson equation (DSW). As a result, more and new general exact solutions are obtained including hyperbolic function solutions, trigonometric function solutions and rational function solutions. New complex type solutions to the nonlinear (1+1) dimensional (DSW) equation are obtained with Liu's theorem.

Nonlinear evolution equations exact solutions Drinfel’d-Sokolov-Wilson equation enhanced (G'/G) -expansion method liu’s theorem

Cited by 3

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Solution of Non-linear Drinfel’d–Sokolov–Wilson Coupled Partial Differential Equations Using Reduced Differential Transform Method

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