WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Variable-Coefficient Simplest Equation Method For Solving Nonar Evolution Equations In Mathematical Physics
Author:
Abstract: In this paper, a variable-coefficient simplest equation method is proposed to establish exact solutions for nonlinear evolution equations. For illustrating the validity of this method, we apply it to the asymmetric (2+1)-dimensional NNV system, the (2+1)-dimensional dispersive long wave equations and the (2+1)-dimensional Boussinesq and Kadomtsev-Petviashvili equations. As a result, some new exact solutions and solitary wave solutions involving arbitrary function as coefficients are obtained for them.