New application of (G '/G)-expansion method to a nonlinear evolution equation

作者：Ma, Yulan; Li, Bangqing^*

来源：Applied Mathematics and Computation, 2010, 216(7): 2137-2144.

DOI：10.1016/j.amc.2010.03.048

• (G '/G)-expansion method
• Modified generalized Vakhnenko equation
• Traveling wave solution
• Hump-like solitary wave solution
• Cusp-like solitary wave solution
• Loop-like solitary wave solution

A series of exact traveling wave solutions are constructed by applying the (G'/G)-expansion method for a modified generalized Vakhnenko equation. A further investigation shows that the shape types of the solitary wave solutions could directly depend on the coefficients of the linear ordinary differential equation with the (G'/G)-expansion method. Hump-like solitary wave solution, cusp-like solitary wave solution and loop-like solitary wave solution can be observed by setting the coefficients at different values.

• 出版日期2010-6-1
• 单位北京工商大学; 中国矿业大学（北京）