The complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorAratyn, H.
dc.creatorFerreira, L. A.
dc.creatorGomes, J. F.
dc.creatorZimerman, A. H.
dc.date2014-05-20T14:06:31Z
dc.date2016-10-25T17:11:47Z
dc.date2014-05-20T14:06:31Z
dc.date2016-10-25T17:11:47Z
dc.date2000-09-08
dc.date.accessioned2017-04-05T21:38:11Z
dc.date.available2017-04-05T21:38:11Z
dc.identifierJournal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 33, n. 35, p. L331-L337, 2000.
dc.identifier0305-4470
dc.identifierhttp://hdl.handle.net/11449/23342
dc.identifierhttp://acervodigital.unesp.br/handle/11449/23342
dc.identifier10.1088/0305-4470/33/35/101
dc.identifierWOS:000089474600001
dc.identifierhttp://dx.doi.org/10.1088/0305-4470/33/35/101
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/868522
dc.descriptionIt is shown how the complex sine-Gordon equation arises as a symmetry flow of the AKNS hierarchy. The AKNS hierarchy is extended by the 'negative' symmetry flows forming the Borel loop algebra. The complex sine-Gordon and the vector nonlinear Schrodinger equations appear as lowest-negative and second-positive flows within the extended hierarchy. This is fully analogous to the well known connection between the sine-Gordon and mKdV equations within the extended mKdV hierarchy. A general formalism for a Toda-like symmetry occupying the 'negative' sector of the sl(N) constrained KP hierarchy and giving rise to the negative Borel sl(N) loop algebra is indicated.
dc.languageeng
dc.publisherIop Publishing Ltd
dc.relationJournal of Physics A: Mathematical and General
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleThe complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy
dc.typeOtro


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