A Maple package for finding interaction solutions of nonlinear evolution equations

Hao Xiazhi; Liu Yinping; Tang Xiaoyan; Li Zhibin

doi:10.1016/j.camwa.2016.09.006

A Maple package for finding interaction solutions of nonlinear evolution equations

Hao Xiazhi
, Liu Yinping^*
, Tang Xiaoyan
, Li Zhibin

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

Abstract

Based on Wu's elimination method, an algorithm about the consistent Riccati expansion (CRE) method is presented to find different types of interaction wave solutions for nonlinear partial differential equations. Furthermore, a Maple package is developed to entirely implement the algorithm, and several examples are given to illustrate the effectiveness of the package.

Original language	English
Pages (from-to)	2450-2461
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	72
Issue number	9
DOIs	https://doi.org/10.1016/j.camwa.2016.09.006
State	Published - 1 Nov 2016

Keywords

CRE method
Interaction wave solution
Maple package
Nonlinear partial differential equations

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10.1016/j.camwa.2016.09.006

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@article{102fb8759dfd4ba2bc1527b11db4860d,

title = "A Maple package for finding interaction solutions of nonlinear evolution equations",

abstract = "Based on Wu's elimination method, an algorithm about the consistent Riccati expansion (CRE) method is presented to find different types of interaction wave solutions for nonlinear partial differential equations. Furthermore, a Maple package is developed to entirely implement the algorithm, and several examples are given to illustrate the effectiveness of the package.",

keywords = "CRE method, Interaction wave solution, Maple package, Nonlinear partial differential equations",

author = "Hao Xiazhi and Liu Yinping and Tang Xiaoyan and Li Zhibin",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2016",

month = nov,

day = "1",

doi = "10.1016/j.camwa.2016.09.006",

language = "英语",

volume = "72",

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journal = "Computers and Mathematics with Applications",

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T1 - A Maple package for finding interaction solutions of nonlinear evolution equations

AU - Xiazhi, Hao

AU - Yinping, Liu

AU - Xiaoyan, Tang

AU - Zhibin, Li

PY - 2016/11/1

Y1 - 2016/11/1

N2 - Based on Wu's elimination method, an algorithm about the consistent Riccati expansion (CRE) method is presented to find different types of interaction wave solutions for nonlinear partial differential equations. Furthermore, a Maple package is developed to entirely implement the algorithm, and several examples are given to illustrate the effectiveness of the package.

AB - Based on Wu's elimination method, an algorithm about the consistent Riccati expansion (CRE) method is presented to find different types of interaction wave solutions for nonlinear partial differential equations. Furthermore, a Maple package is developed to entirely implement the algorithm, and several examples are given to illustrate the effectiveness of the package.

KW - CRE method

KW - Interaction wave solution

KW - Maple package

KW - Nonlinear partial differential equations

UR - https://www.scopus.com/pages/publications/84994316621

U2 - 10.1016/j.camwa.2016.09.006

DO - 10.1016/j.camwa.2016.09.006

M3 - 文章

AN - SCOPUS:84994316621

SN - 0898-1221

VL - 72

SP - 2450

EP - 2461

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 9

ER -

A Maple package for finding interaction solutions of nonlinear evolution equations

Abstract

Keywords

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