A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method

作者：Zhao, Lei; Huang, Dingjiang; Zhou, Shuigeng^*

来源：Applied Mathematics and Computation, 2012, 219(4): 1890-1896.

DOI：10.1016/j.amc.2012.08.031

• Nonlinear partial differential equations
• Exp-function method
• Computer algebra

A new algorithm and its Maple implementation AEFM are presented to find exact solitary wave solutions of nonlinear partial differential equations (PDEs) in terms of the Exp-function method. It turns out that the program can perform the Exp-function method entirely automatically and output directly solitary solutions to (n + 1) dimensional PDEs. Furthermore, the package allows users to find desirable solutions with different input parameters. The effectiveness of the algorithm is illustrated by applying it to a variety of equations.

• 出版日期2012-11-1
• 单位复旦大学; 上海电机学院; 华东理工大学