The residual symmetry and exact solutions of the Davey–Stewartson III equation

Xiazhi Hao; Yinping Liu; Xiaoyan Tang; Zhibin Li

doi:10.1016/j.camwa.2017.04.001

The residual symmetry and exact solutions of the Davey–Stewartson III equation

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

^*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

8 引用（Scopus）

摘要

Through the truncated Painlevé expansion, the residual symmetry of the Davey–Stewartson III system is derived. This symmetry is localized to a properly prolonged system and the corresponding Bäcklund transformation is obtained. Based on the transformation, some exact solutions are generated. Furthermore, several types of interaction wave solutions are obtained by using the consistent tanh expansion method.

源语言	英语
页（从-至）	2404-2414
页数	11
期刊	Computers and Mathematics with Applications
卷	73
期	11
DOI	https://doi.org/10.1016/j.camwa.2017.04.001
出版状态	已出版 - 1 6月 2017

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title = "The residual symmetry and exact solutions of the Davey{\textendash}Stewartson III equation",

abstract = "Through the truncated Painlev{\'e} expansion, the residual symmetry of the Davey{\textendash}Stewartson III system is derived. This symmetry is localized to a properly prolonged system and the corresponding B{\"a}cklund transformation is obtained. Based on the transformation, some exact solutions are generated. Furthermore, several types of interaction wave solutions are obtained by using the consistent tanh expansion method.",

keywords = "Consistent tanh expansion method, Davey{\textendash}Stewartson III system, Residual symmetry",

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

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2017",

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T1 - The residual symmetry and exact solutions of the Davey–Stewartson III equation

AU - Hao, Xiazhi

AU - Liu, Yinping

AU - Tang, Xiaoyan

AU - Li, Zhibin

PY - 2017/6/1

Y1 - 2017/6/1

N2 - Through the truncated Painlevé expansion, the residual symmetry of the Davey–Stewartson III system is derived. This symmetry is localized to a properly prolonged system and the corresponding Bäcklund transformation is obtained. Based on the transformation, some exact solutions are generated. Furthermore, several types of interaction wave solutions are obtained by using the consistent tanh expansion method.

AB - Through the truncated Painlevé expansion, the residual symmetry of the Davey–Stewartson III system is derived. This symmetry is localized to a properly prolonged system and the corresponding Bäcklund transformation is obtained. Based on the transformation, some exact solutions are generated. Furthermore, several types of interaction wave solutions are obtained by using the consistent tanh expansion method.

KW - Consistent tanh expansion method

KW - Davey–Stewartson III system

KW - Residual symmetry

UR - https://www.scopus.com/pages/publications/85018241734

U2 - 10.1016/j.camwa.2017.04.001

DO - 10.1016/j.camwa.2017.04.001

M3 - 文章

AN - SCOPUS:85018241734

SN - 0898-1221

VL - 73

SP - 2404

EP - 2414

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 11

ER -

The residual symmetry and exact solutions of the Davey–Stewartson III equation

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