A generalized (G′/G)-expansion method and its applications

In this Letter, the (G'/G)-expansion method [M.L. Wang, X.Z. Li, J.L. Zhang, Phys. Lett. A 372 (2008) 417] is improved and a generalized (G'/G)-expansion method is proposed to seek exact solutions of nonlinear evolution equations. We choose the (2 + 1)-dimensional Nizhnik-Novikov-Vesselov equation, the (2 + 1)-dimensional Broer-Kaup equation and the (2 + 1)-dimensional Kadomstev-Petviashvili equation to illustrate the validity and advantages of the proposed method. Many new and more general non-travelling wave solutions and coefficient function solutions are obtained. (c) 2008 Elsevier B.V. All rights reserved.