A generalized [formula omitted]-expansion method and its applications

Abstract

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.