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

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	2450-2461
页数	12
期刊	Computers and Mathematics with Applications
卷	72
期	9
DOI	https://doi.org/10.1016/j.camwa.2016.09.006
出版状态	已出版 - 1 11月 2016

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10.1016/j.camwa.2016.09.006

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引用此

@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",

pages = "2450--2461",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd",

number = "9",

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TY - JOUR

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

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