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

Zhi Bin Li; Yin Ping Liu

doi:10.1016/S0010-4655(02)00559-3

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

Zhi Bin Li, Yin Ping Liu

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

94 Scopus citations

Abstract

A Maple package RATH which outputs entirely automatically tanh-polynomial travelling solitary wave solutions of a given nonlinear 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.

Original language	English
Pages (from-to)	256-266
Number of pages	11
Journal	Computer Physics Communications
Volume	148
Issue number	2
DOIs	https://doi.org/10.1016/S0010-4655(02)00559-3
State	Published - 15 Oct 2002

Keywords

Nonlinear evolution equation
Solitary wave solutons
Symbolic computation

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10.1016/S0010-4655(02)00559-3

Cite this

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title = "RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations",

abstract = "A Maple package RATH which outputs entirely automatically tanh-polynomial travelling solitary wave solutions of a given nonlinear 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.",

keywords = "Nonlinear evolution equation, Solitary wave solutons, Symbolic computation",

author = "Li, \{Zhi Bin\} and Liu, \{Yin Ping\}",

year = "2002",

month = oct,

day = "15",

doi = "10.1016/S0010-4655(02)00559-3",

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journal = "Computer Physics Communications",

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T2 - A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations

AU - Li, Zhi Bin

AU - Liu, Yin Ping

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N2 - A Maple package RATH which outputs entirely automatically tanh-polynomial travelling solitary wave solutions of a given nonlinear 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.

AB - A Maple package RATH which outputs entirely automatically tanh-polynomial travelling solitary wave solutions of a given nonlinear 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.

KW - Nonlinear evolution equation

KW - Solitary wave solutons

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/0037107737

U2 - 10.1016/S0010-4655(02)00559-3

DO - 10.1016/S0010-4655(02)00559-3

M3 - 文章

AN - SCOPUS:0037107737

SN - 0010-4655

VL - 148

SP - 256

EP - 266

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 2

ER -

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

Abstract

Keywords

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