Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:06:33Z
dc.date.accessioned2022-10-05T14:59:57Z
dc.date.available2014-05-20T14:06:33Z
dc.date.available2022-10-05T14:59:57Z
dc.date.created2014-05-20T14:06:33Z
dc.date.issued2000-08-21
dc.identifierPhysics Letters A. Amsterdam: Elsevier B.V., v. 273, n. 3, p. 183-193, 2000.
dc.identifier0375-9601
dc.identifierhttp://hdl.handle.net/11449/23358
dc.identifier10.1016/S0375-9601(00)00474-6
dc.identifierWOS:000089077700007
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3896751
dc.description.abstractIn 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.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationPhysics Letters A
dc.relation1.863
dc.relation0,595
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.titleLie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation
dc.typeArtigo


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