One-Dimensional Optimal System and Similarity Reductions of Wu - Zhang Equation

Na Xiong; Yu Qi Li; Jun Chao Chen; Yong Chen

doi:10.1088/0253-6102/66/1/001

One-Dimensional Optimal System and Similarity Reductions of Wu - Zhang Equation

Na Xiong
, Yu Qi Li
, Jun Chao Chen
, Yong Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

6 Scopus citations

Abstract

The one-dimensional optimal system for the Lie symmetry group of the (2+1)-dimensional Wu - Zhang equation is constructed by the general and systematic approach. Based on the optimal system, the complete and inequivalent symmetry reduction systems are presented in the form of table. It is noteworthy that a new Painlevé integrable equation with constant coefficient is in the table besides the classic Boussinesq equation and the steady case of the Wu-Zhang equation.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Communications in Theoretical Physics
Volume	66
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/66/1/001
State	Published - 1 Jul 2016

Keywords

Painlevé integrability
WuZhang equation
optimal system
similarity reduction

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10.1088/0253-6102/66/1/001

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title = "One-Dimensional Optimal System and Similarity Reductions of Wu - Zhang Equation",

abstract = "The one-dimensional optimal system for the Lie symmetry group of the (2+1)-dimensional Wu - Zhang equation is constructed by the general and systematic approach. Based on the optimal system, the complete and inequivalent symmetry reduction systems are presented in the form of table. It is noteworthy that a new Painlev{\'e} integrable equation with constant coefficient is in the table besides the classic Boussinesq equation and the steady case of the Wu-Zhang equation.",

keywords = "Painlev{\'e} integrability, WuZhang equation, optimal system, similarity reduction",

author = "Na Xiong and Li, \{Yu Qi\} and Chen, \{Jun Chao\} and Yong Chen",

note = "Publisher Copyright: {\textcopyright} 2016 Chinese Physical Society and IOP Publishing Ltd.",

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doi = "10.1088/0253-6102/66/1/001",

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T1 - One-Dimensional Optimal System and Similarity Reductions of Wu - Zhang Equation

AU - Xiong, Na

AU - Li, Yu Qi

AU - Chen, Jun Chao

AU - Chen, Yong

PY - 2016/7/1

Y1 - 2016/7/1

N2 - The one-dimensional optimal system for the Lie symmetry group of the (2+1)-dimensional Wu - Zhang equation is constructed by the general and systematic approach. Based on the optimal system, the complete and inequivalent symmetry reduction systems are presented in the form of table. It is noteworthy that a new Painlevé integrable equation with constant coefficient is in the table besides the classic Boussinesq equation and the steady case of the Wu-Zhang equation.

AB - The one-dimensional optimal system for the Lie symmetry group of the (2+1)-dimensional Wu - Zhang equation is constructed by the general and systematic approach. Based on the optimal system, the complete and inequivalent symmetry reduction systems are presented in the form of table. It is noteworthy that a new Painlevé integrable equation with constant coefficient is in the table besides the classic Boussinesq equation and the steady case of the Wu-Zhang equation.

KW - Painlevé integrability

KW - WuZhang equation

KW - optimal system

KW - similarity reduction

UR - https://www.scopus.com/pages/publications/84978532591

U2 - 10.1088/0253-6102/66/1/001

DO - 10.1088/0253-6102/66/1/001

M3 - 文章

AN - SCOPUS:84978532591

SN - 0253-6102

VL - 66

SP - 1

EP - 11

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 1

ER -

One-Dimensional Optimal System and Similarity Reductions of Wu - Zhang Equation

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Keywords

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