Study of coupled nonlinear partial differential equations for finding exact analytical solutions

Abstract

Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced (G_x0002_/G)-expansion method. The method is subsequently applied to find exact solutions of the Drinfel’d–Sokolov–Wilson (DSW) equation and the (2+1)-dimensional Painlevé integrable Burgers (PIB) equation. The efficiency of this method for finding these exact solutions is demonstrated. The method is effective and applicable for many other NPDEs in mathematical physics.