Nonlocal symmetries and exact solutions for PIB equation

Xiang Peng Xin; Qian Miao; Yong Chen

doi:10.1088/0253-6102/58/3/03

Nonlocal symmetries and exact solutions for PIB equation

Xiang Peng Xin^*
, Qian Miao
, Yong Chen

^*此作品的通讯作者

数学科学学院

East China Normal University
Ningbo University

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

In this paper, the symmetry group of the (2+1)-dimensional Painlevé integrable Burgers (PIB) equations is studied by means of the classical symmetry method. Ignoring the discussion of the infinite-dimensional subalgebra, we construct an optimal system of one-dimensional group invariant solutions. Furthermore, by using the conservation laws of the reduced equations, we obtain nonlocal symmetries and exact solutions of the PIB equations.

源语言	英语
页（从-至）	331-337
页数	7
期刊	Communications in Theoretical Physics
卷	58
期	3
DOI	https://doi.org/10.1088/0253-6102/58/3/03
出版状态	已出版 - 9月 2012

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10.1088/0253-6102/58/3/03

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title = "Nonlocal symmetries and exact solutions for PIB equation",

abstract = "In this paper, the symmetry group of the (2+1)-dimensional Painlev{\'e} integrable Burgers (PIB) equations is studied by means of the classical symmetry method. Ignoring the discussion of the infinite-dimensional subalgebra, we construct an optimal system of one-dimensional group invariant solutions. Furthermore, by using the conservation laws of the reduced equations, we obtain nonlocal symmetries and exact solutions of the PIB equations.",

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AU - Miao, Qian

AU - Chen, Yong

PY - 2012/9

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N2 - In this paper, the symmetry group of the (2+1)-dimensional Painlevé integrable Burgers (PIB) equations is studied by means of the classical symmetry method. Ignoring the discussion of the infinite-dimensional subalgebra, we construct an optimal system of one-dimensional group invariant solutions. Furthermore, by using the conservation laws of the reduced equations, we obtain nonlocal symmetries and exact solutions of the PIB equations.

AB - In this paper, the symmetry group of the (2+1)-dimensional Painlevé integrable Burgers (PIB) equations is studied by means of the classical symmetry method. Ignoring the discussion of the infinite-dimensional subalgebra, we construct an optimal system of one-dimensional group invariant solutions. Furthermore, by using the conservation laws of the reduced equations, we obtain nonlocal symmetries and exact solutions of the PIB equations.

KW - classical Lie symmetry method

KW - explicit solution

KW - nonlocal symmetry

KW - optimal system

UR - https://www.scopus.com/pages/publications/84866398795

U2 - 10.1088/0253-6102/58/3/03

DO - 10.1088/0253-6102/58/3/03

M3 - 文章

AN - SCOPUS:84866398795

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VL - 58

SP - 331

EP - 337

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

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ER -

Nonlocal symmetries and exact solutions for PIB equation

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