A generalized (G '/G)-expansion method and its application to the (2 1)-dimensional Broer-Kaup equations

作者：Zhang Sheng^*; Wang Wei; Tong Jing Lin

来源：Applied Mathematics and Computation, 2009, 209(2): 399-404.

DOI：10.1016/j.amc.2008.12.068

• Nonlinear evolution equations
• Generalized (G '/G)-expansion method
• Non-travelling wave solutions
• Hyperbolic function solutions
• Trigonometric function solutions
• Rational solutions

In this paper, a generalized (G'/G)-expansion method is used to seek more general exact solutions of the (2 1)-dimensional Broer-Kaup equations. As a result, non-travelling wave solutions with three arbitrary functions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. The proposed method is more powerful than Wang et al.'s method in [M. L. Wang, X.Z. Li, J.L. Zhang, The (G'/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, Phys. Lett. A 372 (2008) 417-423] and it can be used for many other nonlinear evolution equations in mathematical physics.

• 出版日期2009-3-15
• 单位渤海大学