A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations

被引：63

作者：

Fan, EG ^{[1
]}

Dai, HH

机构：

[1] Fudan Univ, Key Lab Nonlinear Math Models & Methods, Math Inst, Shanghai 200433, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2003年 / 153卷 / 01期

关键词：

nonlinear equation; traveling wave solution; solitary wave solution; doubly periodic wave solution; algebraic method with computerized symbolic computation; PARTIAL-DIFFERENTIAL EQUATIONS; GENERALIZED TANH METHOD; EVOLUTION-EQUATIONS;

D O I：

10.1016/S0010-4655(02)00873-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A direct approach with computerized symbolic computation is applied to construct a series of traveling wave solutions for nonlinear equations. Compared with most existing symbolic computation methods such as tanh method and Jacobi function method, the proposed method not only gives new and more general solutions, but also provides a guideline to classify the various types of the solution according to some parameters. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：17 / 30

页数：14

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