Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy

Detalhes bibliográficos
Autor(a) principal: Aguirre, A. R.
Data de Publicação: 2018
Outros Autores: Gomes, J. F. [UNESP], Retore, A. L., Spano, N. I. [UNESP], Zimerman, A. H. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/978-981-13-2715-5_18
http://hdl.handle.net/11449/188486
Resumo: In this paper we consider the N = 1 supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine ŝl(2,1) algebra. Its Bäcklund transformations are constructed in terms of a gauge transformation preserving the zero curvature representation. The recursion operator relating consecutive flows is derived and shown to relate their Backlund transformations.
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spelling Recursion Operator and Bäcklund Transformation for Super mKdV HierarchyIn this paper we consider the N = 1 supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine ŝl(2,1) algebra. Its Bäcklund transformations are constructed in terms of a gauge transformation preserving the zero curvature representation. The recursion operator relating consecutive flows is derived and shown to relate their Backlund transformations.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)National Intelligence ServiceInstituto de Física e Química Universidade Federal de Itajubá - IFQ/UNIFEI, Av. BPS 1303Physics Department of the University of MiamiInstituto de Física Teórica - IFT/UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IIInstituto de Física Teórica - IFT/UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IINational Intelligence Service: 2015/00025-9Universidade Federal de Itajubá - IFQ/UNIFEIPhysics Department of the University of MiamiUniversidade Estadual Paulista (Unesp)Aguirre, A. R.Gomes, J. F. [UNESP]Retore, A. L.Spano, N. I. [UNESP]Zimerman, A. H. [UNESP]2019-10-06T16:09:46Z2019-10-06T16:09:46Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject293-309http://dx.doi.org/10.1007/978-981-13-2715-5_18Springer Proceedings in Mathematics and Statistics, v. 263, p. 293-309.2194-10172194-1009http://hdl.handle.net/11449/18848610.1007/978-981-13-2715-5_182-s2.0-85058353043Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSpringer Proceedings in Mathematics and Statisticsinfo:eu-repo/semantics/openAccess2021-10-22T19:32:41Zoai:repositorio.unesp.br:11449/188486Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T19:32:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
title Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
spellingShingle Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
Aguirre, A. R.
title_short Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
title_full Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
title_fullStr Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
title_full_unstemmed Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
title_sort Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
author Aguirre, A. R.
author_facet Aguirre, A. R.
Gomes, J. F. [UNESP]
Retore, A. L.
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]
author_role author
author2 Gomes, J. F. [UNESP]
Retore, A. L.
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Federal de Itajubá - IFQ/UNIFEI
Physics Department of the University of Miami
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Aguirre, A. R.
Gomes, J. F. [UNESP]
Retore, A. L.
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]
description In this paper we consider the N = 1 supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine ŝl(2,1) algebra. Its Bäcklund transformations are constructed in terms of a gauge transformation preserving the zero curvature representation. The recursion operator relating consecutive flows is derived and shown to relate their Backlund transformations.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
2019-10-06T16:09:46Z
2019-10-06T16:09:46Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/978-981-13-2715-5_18
Springer Proceedings in Mathematics and Statistics, v. 263, p. 293-309.
2194-1017
2194-1009
http://hdl.handle.net/11449/188486
10.1007/978-981-13-2715-5_18
2-s2.0-85058353043
url http://dx.doi.org/10.1007/978-981-13-2715-5_18
http://hdl.handle.net/11449/188486
identifier_str_mv Springer Proceedings in Mathematics and Statistics, v. 263, p. 293-309.
2194-1017
2194-1009
10.1007/978-981-13-2715-5_18
2-s2.0-85058353043
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Springer Proceedings in Mathematics and Statistics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 293-309
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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