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

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

8 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2404-2414
Number of pages	11
Journal	Computers and Mathematics with Applications
Volume	73
Issue number	11
DOIs	https://doi.org/10.1016/j.camwa.2017.04.001
State	Published - 1 Jun 2017

Keywords

Consistent tanh expansion method
Davey–Stewartson III system
Residual symmetry

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10.1016/j.camwa.2017.04.001

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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",

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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

Abstract

Keywords

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