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

作者：Zhang Jiao^*; Wei Xiaoli; Lu Yongjie

来源：Physics Letters A, 2008, 372(20): 3653-3658.

DOI：10.1016/j.physleta.2008.02.027

• generalized (G '/G)-expansion method
• exact solutions
• Nizhnik-Novikov-Vesselov equation
• Broer-Kaup equation
• Kadomstev-Petviashvili equation

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.

• 出版日期2008-5-12
• 单位辽宁大学