A generalized auxiliary equation method and its application to the (2+1)-dimensional KdV equations

作者：Zhang Sheng^*

来源：Applied Mathematics and Computation, 2007, 188(1): 1-6.

DOI：10.1016/j.amc.2006.09.068

• auxiliary equation method
• soliton-like solution
• trigonometric function solution
• exponential solution
• rational solution

In this paper, a generalized auxiliary equation method is proposed to construct more general exact solutions of nonlinear partial differential equations. As an application of the method, the (2+ 1)-dimensional Korteweg-de Vries equations are considered. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained including soliton-like solutions, trigonometric function solutions, exponential solutions and rational solutions.

• 出版日期2007-5-1
• 单位渤海大学