Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
21/08/2000
|
Resumo |
In this Letter we investigate Lie symmetries of a (2 + 1)-dimensional integrable generalization of the Camassa-Holm (CH) equation. Through the similarity reductions we obtain four different (1 + 1)-dimensional systems of partial differential equations in which one of them turns out to be a (1 + 1)-dimensional CH equation. We establish their integrability by providing the Lax pair for all of them. Further, we present a brief analysis for some types of particular solutions which include the cuspon, peakon and soliton solutions for the two-dimensional generalization of the CH equation. (C) 2000 Published by Elsevier B.V. B.V. |
Formato |
183-193 |
Identificador |
http://dx.doi.org/10.1016/S0375-9601(00)00474-6 Physics Letters A. Amsterdam: Elsevier B.V., v. 273, n. 3, p. 183-193, 2000. 0375-9601 http://hdl.handle.net/11449/23358 10.1016/S0375-9601(00)00474-6 WOS:000089077700007 |
Idioma(s) |
eng |
Publicador |
Elsevier B.V. |
Relação |
Physics Letters A |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |