A generalized sub-equations rational expansion method for nonlinear evolution equations

作者：Li, Wenting^*; Zhang, Hongqing

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(6): 1454-1461.

DOI：10.1016/j.cnsns.2009.06.030

• Nonlinear evolution equations
• Generalized sub-equations rational expansion method
• (2+1)-Dimensional Burgers equations
• Complexiton solutions

In this paper, based on symbolic computation and the idea of rational expansion method, a generalized sub-equations rational expansion method (GSRE) is devised to uniformly construct a series of exact complexiton solutions for nonlinear evolution equations. Compared with most existing tanh function methods and other sophisticated methods, the proposed method not only recover some known solutions, but also find some new and general solutions which include many new types of complexiton solutions: the combination of hyperbolic (and square form) function and elliptic function, trigonometric (and square form) function and elliptic function. The efficiency of the method can be demonstrated on (2 + 1)-dimensional Burgers equations.

• 出版日期2010-6
• 单位大连理工大学