Solitons from dressing in an algebraic approach to the constrained KP hierarchy

dc.contributor.authorAratyn, H.
dc.contributor.authorFerreira, L. A.
dc.contributor.authorGomes, J. F.
dc.contributor.authorZimerman, A. H.
dc.contributor.institutionUniv Illinois
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:06:42Z
dc.date.available2014-05-20T14:06:42Z
dc.date.issued1998-11-27
dc.description.abstractThe algebraic matrix hierarchy approach based on affine Lie sl(n) algebras leads to a variety of 1 + 1 soliton equations. By varying the rank of the underlying sl(n) algebra as well as its gradation in the affine setting, one encompasses the set of the soliton equations of the constrained KP hierarchy.The soliton solutions are then obtained as elements of the orbits of the dressing transformations constructed in terms of representations of the vertex operators of the affine sl(n) algebras realized in the unconventional gradations. Such soliton solutions exhibit non-trivial dependence on the KdV (odd) time flows and KP (odd and even) time Bows which distinguishes them From the conventional structure of the Darboux-Backlund-Wronskian solutions of the constrained KP hierarchy.en
dc.description.affiliationUniv Illinois, Dept Phys, Chicago, IL 60607 USA
dc.description.affiliationUNESP, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUnespUNESP, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.format.extent9483-9492
dc.identifierhttp://dx.doi.org/10.1088/0305-4470/31/47/009
dc.identifier.citationJournal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 31, n. 47, p. 9483-9492, 1998.
dc.identifier.doi10.1088/0305-4470/31/47/009
dc.identifier.issn0305-4470
dc.identifier.lattes9287776078149551
dc.identifier.lattes8215976645016606
dc.identifier.urihttp://hdl.handle.net/11449/23424
dc.identifier.wosWOS:000077431000009
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics A: Mathematical and General
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleSolitons from dressing in an algebraic approach to the constrained KP hierarchyen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/page/copyright
dcterms.rightsHolderIop Publishing Ltd
unesp.author.lattes9287776078149551
unesp.author.lattes8215976645016606[4]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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