Nonlocal Symmetries and Exact Solutions for PIB Equation

In this paper, the symmetry group of the (2+1)-dimensional Painleve 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. Fu...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 58; no. 3; pp. 331 - 337
Main Authors Xin, Xiang-Peng, Miao, Qian, Chen, Yong
Format Journal Article
LanguageEnglish
Published 01.09.2012
Subjects
Conservation laws
Construction
Exact solutions
Group theory
Invariants
Mathematical analysis
Optimization
Symmetry
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Summary:In this paper, the symmetry group of the (2+1)-dimensional Painleve 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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0253-6102
DOI:10.1088/0253-6102/58/3/03