Symmetry Reduction of the (2+1)-Dimensional Modified Dispersive Water-Wave System

Abstract Using the standard truncated Painlevé expansion, the residual symmetry of the (2+1)-dimensional modified dispersive water-wave system is localized in the properly prolonged system with the Lie point symmetry vector. Some different transformation invariances are derived by utilizing the obta...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 64; no. 2; pp. 127 - 132
Main Authors Ma, Zheng-Yi, Fei, Jin-Xi, Du, Xiao-Yang
Format Journal Article
LanguageEnglish
Published 01.08.2015
Subjects
Hyperbolic functions
Mathematical analysis
Reduction
Symmetry
Theoretical physics
Transformations
Vectors (mathematics)
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Summary:Abstract Using the standard truncated Painlevé expansion, the residual symmetry of the (2+1)-dimensional modified dispersive water-wave system is localized in the properly prolonged system with the Lie point symmetry vector. Some different transformation invariances are derived by utilizing the obtained symmetries. The symmetries of the system are also derived through the Clarkson–Kruskal direct method, and several types of explicit reduction solutions relate to the trigonometric or the hyperbolic functions are obtained. Finally, some special solitons are depicted from one of the solutions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/64/2/127