title: 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'/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.
authors.affiliation: Department of Mathematics , Pabna University of Science and Technology , Pabna 6600, Bangladesh.
authors.forename: Kamruzzaman
authors.initials: K
authors.lastname: Khan
authors.affiliation: Department of Applied Mathematics , University of Rajshahi , Rajshahi 6205, Bangladesh.
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
authors.affiliation: Faculty of Electrical Engineering, Mathematics and Computer Science , University of Delft , Delft, The Netherlands.
authors.forename: H
authors.initials: H
authors.lastname: Koppelaar
keywords: Drinfel'd–Sokolov–Wilson equation; Painlevé integrable Burgers equation; enhanced (G′/G)-expansion method; nonlinear partial differential equations; solitary wave