A generalized (G '/G)-expansion method and its applications to nonlinear evolution equations

作者：Lue Hai Ling; Liu Xi Qiang; Niu Lei

来源：Applied Mathematics and Computation, 2010, 215(11): 3811-3816.

DOI：10.1016/j.amc.2009.11.021

• Generalized (G '/G)-expansion method
• Combined KdV-MKdV equation
• Coupled Jaulent-Miodek equation
• Travelling wave solution

In this paper, a generalized (G'/G)-expansion method and its algorithm are proposed by studying Wang's (G'/G)-expansion method and constructing a first order nonlinear ordinary differential equation with a third-degree nonlinear term. Being concise and straightforward, the method is applied to combined KdV-MKdV equation and coupled Jaulent-Miodek equation. As a result, some new exact travelling wave solutions are obtained which include solitary wave solutions, triangular periodic wave solutions, exponential solutions, complex travelling solutions and rational solutions. This method can also be applied to other nonlinear evolution equations in mathematical physics.

• 出版日期2010-2-1
• 单位聊城大学