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dc.contributor.authorAratyn, H.-
dc.contributor.authorGomes, J. F.-
dc.contributor.authorZimerman, A. H.-
dc.identifier.citationJournal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 39, n. 5, p. 1099-1114, 2006.-
dc.description.abstractA deformation parameter of a bihamiltonian structure of hydrodynamic type is shown to parametrize different extensions of the AKNS hierarchy to include negative flows. This construction establishes a purely algebraic link between, on the one hand, two realizations of the first negative flow of the AKNS model and, on the other, two-component generalizations of Camassa-Holmand Dym-type equations. The two-component generalizations of Camassa-Holm- and Dym-type equations can be obtained from the negative-order Hamiltonians constructed from the Lenard relations recursively applied on the Casimir of the first Poisson bracket of hydrodynamic type. The positive-order Hamiltonians, which follow froth the Lenard scheme applied on the Casimir of the second Poisson bracket of hydrodynamic type, are shown to coincide with the Hamiltonians of the AKNS model. The AKNS Hamiltonians give rise to charges conserved with respect to equations of motion of two-component Camassa-Holm- and two-component Dym-type equations.en
dc.publisherIop Publishing Ltd-
dc.sourceWeb of Science-
dc.titleOn negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic typeen
dc.contributor.institutionUniv Illinois-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
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.rights.accessRightsAcesso restrito-
dc.relation.ispartofJournal of Physics A: Mathematical and General-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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