On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?

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dc.contributor.authorAratyn, Henrik
dc.contributor.authorGomes, Jose Francisco [UNESP]
dc.contributor.authorZimerman, Abraham H. [UNESP]
dc.contributor.institutionUniversity of Illinois at Chicago
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:22:04Z
dc.date.available2014-05-27T11:22:04Z
dc.date.issued2006-12-01
dc.description.abstractDifferent gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction.en
dc.description.affiliationDepartment of Physics University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607-7059
dc.description.affiliationInstituto de Física Téorica-UNESP, Rua Pamplona 145, 01405-900 São Paulo
dc.description.affiliationUnespInstituto de Física Téorica-UNESP, Rua Pamplona 145, 01405-900 São Paulo
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.identifierhttp://dx.doi.org/10.3842/SIGMA.2006.070
dc.identifier.citationSymmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006.
dc.identifier.doi10.3842/SIGMA.2006.070
dc.identifier.file2-s2.0-84857273185.pdf
dc.identifier.issn1815-0659
dc.identifier.lattes8215976645016606
dc.identifier.scopus2-s2.0-84857273185
dc.identifier.urihttp://hdl.handle.net/11449/69302
dc.identifier.wosWOS:000207065100069
dc.language.isoeng
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectBäcklund transformationen
dc.subjectCamassa-Holm equationen
dc.subjectIntegrable hierarchiesen
dc.titleOn a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?en
dc.typeArtigo
dcterms.licensehttp://www.emis.de/journals/SIGMA/about.html#open-access
unesp.author.lattes8215976645016606[3]

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