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

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 symm...

Full description

Saved in:
Bibliographic Details
Published in:Communications in theoretical physics 2015-08, Vol.64 (2), p.127-132
Main Authors: Ma, Zheng-Yi, Fei, Jin-Xi, Du, Xiao-Yang
Format: Article
Language:English
Subjects:
Hyperbolic functions
Mathematical analysis
Reduction
Symmetry
Theoretical physics
Transformations
Vectors (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/64/2/127