The higher grading structure of the WKI hierarchy and the two-component short pulse equation

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dc.contributor.authorFranca, G. S. [UNESP]
dc.contributor.authorGomes, J. F. [UNESP]
dc.contributor.authorZimerman, Abraham Hirsz [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:08:47Z
dc.date.available2014-05-20T14:08:47Z
dc.date.issued2012-08-01
dc.description.abstractA higher grading affine algebraic construction of integrable hierarchies, containing the Wadati-Konno-Ichikawa (WKI) hierarchy as a particular case, is proposed. We show that a two-component generalization of the Schafer-Wayne short pulse equation arises quite naturally from the first negative flow of the WKI hierarchy. Some novel integrable nonautonomous models are also proposed. The conserved charges, both local and nonlocal, are obtained from the Riccati form of the spectral problem. The loop-soliton solutions of the WKI hierarchy are systematically constructed through gauge followed by reciprocal Backlund transformation, establishing the precise connection between the whole WKI and AKNS hierarchies. The connection between the short pulse equation with the sine-Gordon model is extended to a correspondence between the two-component short pulse equation and the Lund-Regge model.en
dc.description.affiliationInst Fis Teor IFT UNESP, BR-01140070 São Paulo, Brazil
dc.description.affiliationUnespInst Fis Teor IFT UNESP, BR-01140070 São Paulo, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.format.extent25
dc.identifierhttp://dx.doi.org/10.1007/JHEP08(2012)120
dc.identifier.citationJournal of High Energy Physics. New York: Springer, n. 8, p. 25, 2012.
dc.identifier.doi10.1007/JHEP08(2012)120
dc.identifier.issn1126-6708
dc.identifier.lattes9287776078149551
dc.identifier.lattes8215976645016606
dc.identifier.urihttp://hdl.handle.net/11449/24058
dc.identifier.wosWOS:000309883200049
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofJournal of High Energy Physics
dc.relation.ispartofsjr1,227
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectIntegrable Hierarchiesen
dc.subjectSolitons Monopoles and Instantonsen
dc.subjectIntegrable Field Theoriesen
dc.titleThe higher grading structure of the WKI hierarchy and the two-component short pulse equationen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.lattes9287776078149551
unesp.author.lattes8215976645016606[3]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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