RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations

被引：103

作者：

Li, ZB ^{[1
]}

Liu, YP ^{[1
]}

机构：

[1] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2002年 / 148卷 / 02期

关键词：

nonlinear evolution equations; solitary wave solutions; symbolic computation;

D O I：

10.1016/S0010-4655(02)00559-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A Maple package RATH which outputs entirely automatically tanh-polynomial travelling solitary wave solutions of a given conlinear evolution equation is presented. The effectiveness of RATH is demonstrated by applications to a variety of equations with physical interest as examples. Not only are previously known solutions recovered but in some cases new solutions and more general form of solutions are obtained. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：256 / 266

页数：11

共 24 条

[1] SLOW VISCOUS MOTION ROUND A CYLINDER IN A SIMPLE SHEAR [J].

BRETHERTON, FP .

JOURNAL OF FLUID MECHANICS, 1962, 12 (04) :591-613

[2]

CANOSA J, 1997, J COMPUT PHYS D, V39, P77

[3] Travelling solitary wave solutions to a seventh-order generalized KdV equation [J].

Duffy, BR ;

Parkes, EJ .

PHYSICS LETTERS A, 1996, 214 (5-6) :271-272

[4] New exact solutions to a system of coupled KdV equations [J].

Fan, EG ;

Zhang, HQ .

PHYSICS LETTERS A, 1998, 245 (05) :389-392

[5] SOLITARY WAVE SOLUTIONS OF NONLINEAR EVOLUTION AND WAVE-EQUATIONS USING A DIRECT METHOD AND MACSYMA [J].

HEREMAN, W ;

TAKAOKA, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (21) :4805-4822

[6] EXACT SOLITARY WAVE SOLUTIONS OF NONLINEAR EVOLUTION AND WAVE-EQUATIONS USING A DIRECT ALGEBRAIC-METHOD [J].

HEREMAN, W ;

BANERJEE, PP ;

KORPEL, A ;

ASSANTO, G ;

VANIMMERZEELE, A ;

MEERPOEL, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :607-628

[7]

ITO M, 1998, J PHYS LETT A, V131, P277

[8]

KAUP DJ, 1980, STUD APPL MATH, V62, P189

[9]

KUDRYASHOV NA, 1998, PMM-J APPL MATH MEC, V52, P361

[10] PERSISTENT PROPAGATION OF CONCENTRATION WAVES IN DISSIPATIVE MEDIA FAR FROM THERMAL EQUILIBRIUM [J].

KURAMOTO, Y ;

TSUZUKI, T .

PROGRESS OF THEORETICAL PHYSICS, 1976, 55 (02) :356-369

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