A new auxiliary function method for solving the generalized coupled Hirota-Satsuma KdV system

作者：Feng Yang^*; Zhang Hong qing

来源：Applied Mathematics and Computation, 2008, 200(1): 283-288.

DOI：10.1016/j.amc.2007.11.007

• elliptic equation
• the generalized coupled Hirota-Satsuma KdV system
• travelling wave solution

In this letter, a new auxiliary function method is presented for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of the solutions of the elliptic equation to construct exact travelling wave solutions of nonlinear partial differential equations. More new exact travelling wave solutions are obtained for the generalized coupled Hirota-Satsuma KdV system.

• 出版日期2008-6-15
• 单位大连理工大学