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)(2+1)-dimensional Nizhnik–Novikov–Vesselov equation, the (2+1)(2+1)-dimensional Broer–Kaup equation and the (2+1)(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.