SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorFederal University of Itajubà-
Autor(es): dc.creatorAdans, Y. F.-
Autor(es): dc.creatorAguirre, A. R.-
Autor(es): dc.creatorGomes, J. F.-
Autor(es): dc.creatorLobo, G. V.-
Autor(es): dc.creatorZimerman, A. H.-
Data de aceite: dc.date.accessioned2025-08-21T20:10:17Z-
Data de disponibilização: dc.date.available2025-08-21T20:10:17Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.46298/ocnmp.13294-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/300054-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/300054-
Descrição: dc.descriptionThe construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (flows) which shares a common affine Lie algebraic structure. The integrable hierarchies are then classified in terms of a decomposition of the underlying affine Lie algebra Gˆ into graded subspaces defined by a grading operator Q. In this paper we shall discuss explicitly the simplest case of the affine şl(2) Kac-Moody algebra within the principal gradation given rise to the KdV and mKdV hierarchies and extend to supersymmetric models. Inspired by the dressing transformation method, we have constructed a gaugeMiura transformation mapping mKdV into KdV flows. Interesting new results concerns the negative grade sector of the mKdV hierarchy in which a double degeneracy of flows (odd and its consecutive even) of mKdV are mapped into a single odd KdV flow. These results are extended to supersymmetric hierarchies based upon the affine şl(2, 1) super-algebra.-
Descrição: dc.descriptionSäo Paulo State University Institute of Theoretical Physics IFT-UNESP Rua Dr, Bento Teobaldo Ferraz 271 SP-
Descrição: dc.descriptionInstitute of Physics and Chemistry-IFQ/UNIFEI Federal University of Itajubà, Av. BPS 1303, Itajubà, MG-
Descrição: dc.descriptionSäo Paulo State University Institute of Theoretical Physics IFT-UNESP Rua Dr, Bento Teobaldo Ferraz 271 SP-
Formato: dc.format65-86-
Idioma: dc.languageen-
Relação: dc.relationOpen Communications in Nonlinear Mathematical Physics-
???dc.source???: dc.sourceScopus-
Título: dc.titleSKdV, SmKdV flows and their supersymmetric gauge-Miura transformations-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.