Explicit exact solutions to nonlinear coupled differential equations

Zhi Bin Li; Ruo Xia Yao

Explicit exact solutions to nonlinear coupled differential equations

Zhi Bin Li^*
, Ruo Xia Yao

^*此作品的通讯作者

数学科学学院

East China Normal University
Weinan Teachers University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

A method for constructing explicit exact solutions of coupled ordinary nonlinear differential equations by using the special solutions of Riccati equations is proposed. Two coupled nonlinear differentiall equations are studied using this method, and several new solutions (either functional or parametrical) are explicitly obtained, in addition to rederiving all known solutions in a systematic way.

源语言	英语
页（从-至）	2066-2067
页数	2
期刊	Wuli Xuebao/Acta Physica Sinica
卷	50
期	11
出版状态	已出版 - 11月 2001

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引用此

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title = "Explicit exact solutions to nonlinear coupled differential equations",

abstract = "A method for constructing explicit exact solutions of coupled ordinary nonlinear differential equations by using the special solutions of Riccati equations is proposed. Two coupled nonlinear differentiall equations are studied using this method, and several new solutions (either functional or parametrical) are explicitly obtained, in addition to rederiving all known solutions in a systematic way.",

keywords = "Coupled nonlinear differential equations, Riccati equations, Solitary wave, Symbolic computation",

author = "Li, \{Zhi Bin\} and Yao, \{Ruo Xia\}",

year = "2001",

month = nov,

language = "英语",

volume = "50",

pages = "2066--2067",

journal = "Wuli Xuebao/Acta Physica Sinica",

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T1 - Explicit exact solutions to nonlinear coupled differential equations

AU - Li, Zhi Bin

AU - Yao, Ruo Xia

PY - 2001/11

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N2 - A method for constructing explicit exact solutions of coupled ordinary nonlinear differential equations by using the special solutions of Riccati equations is proposed. Two coupled nonlinear differentiall equations are studied using this method, and several new solutions (either functional or parametrical) are explicitly obtained, in addition to rederiving all known solutions in a systematic way.

AB - A method for constructing explicit exact solutions of coupled ordinary nonlinear differential equations by using the special solutions of Riccati equations is proposed. Two coupled nonlinear differentiall equations are studied using this method, and several new solutions (either functional or parametrical) are explicitly obtained, in addition to rederiving all known solutions in a systematic way.

KW - Coupled nonlinear differential equations

KW - Riccati equations

KW - Solitary wave

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/1542676367

M3 - 文章

AN - SCOPUS:1542676367

SN - 1000-3290

VL - 50

SP - 2066

EP - 2067

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 11

ER -

Explicit exact solutions to nonlinear coupled differential equations

摘要

其它文件与链接

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引用此