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

被引：2
作者：
Zhao, Lei [2 ,3 ]
Huang, Dingjiang [4 ]
Zhou, Shuigeng [1 ,3 ]
机构：
[1] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China
[2] Shanghai Dianji Univ, Sch Elect & Informat, Shanghai 200240, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China
[4] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期
关键词：
Nonlinear partial differential equations; Exp-function method; Computer algebra; TANH-FUNCTION METHOD; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; MAPLE PACKAGE;
D O I：
10.1016/j.amc.2012.08.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1890 / 1896
页数：7
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