Gauge symmetry origin of Bäcklund transformations for Painlevé equations

Detalhes bibliográficos
Autor(a) principal: Alves, V. C.C. [UNESP]
Data de Publicação: 2021
Outros Autores: Aratyn, H, Gomes, J. F. [UNESP], Zimerman, A. H. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1751-8121/abf2ee
http://hdl.handle.net/11449/207671
Resumo: We identify the self-similarity limit of the second flow of sl(N)mKdVhierarchy with the periodic dressing chain thus establishing a connection to A(1) N-1 invariant Painlev'e equations. The A(1) N-1 Bcklund symmetries of dressing equations and Painlev'e equations are obtained in the self-similarity limit of gauge transformations of the mKdV hierarchy realized as zero-curvature equations on the loop algebra sl (N) endowed with a principal gradation.
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spelling Gauge symmetry origin of Bäcklund transformations for Painlevé equationsBacklund symmetries dressing chainIntegrabilityPainleve equationsWe identify the self-similarity limit of the second flow of sl(N)mKdVhierarchy with the periodic dressing chain thus establishing a connection to A(1) N-1 invariant Painlev'e equations. The A(1) N-1 Bcklund symmetries of dressing equations and Painlev'e equations are obtained in the self-similarity limit of gauge transformations of the mKdV hierarchy realized as zero-curvature equations on the loop algebra sl (N) endowed with a principal gradation.Instituto de Física Teórica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco IIDepartment of Physics University of Illinois at Chicago, 845 WTaylor St ChicagoInstituto de Física Teórica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco IIUniversidade Estadual Paulista (Unesp)University of Illinois at ChicagoAlves, V. C.C. [UNESP]Aratyn, HGomes, J. F. [UNESP]Zimerman, A. H. [UNESP]2021-06-25T10:59:04Z2021-06-25T10:59:04Z2021-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/1751-8121/abf2eeJournal of Physics A: Mathematical and Theoretical, v. 54, n. 19, 2021.1751-81211751-8113http://hdl.handle.net/11449/20767110.1088/1751-8121/abf2ee2-s2.0-85105040813Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics A: Mathematical and Theoreticalinfo:eu-repo/semantics/openAccess2021-10-23T17:45:55Zoai:repositorio.unesp.br:11449/207671Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:53:00.584736Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Gauge symmetry origin of Bäcklund transformations for Painlevé equations
title Gauge symmetry origin of Bäcklund transformations for Painlevé equations
spellingShingle Gauge symmetry origin of Bäcklund transformations for Painlevé equations
Alves, V. C.C. [UNESP]
Backlund symmetries dressing chain
Integrability
Painleve equations
title_short Gauge symmetry origin of Bäcklund transformations for Painlevé equations
title_full Gauge symmetry origin of Bäcklund transformations for Painlevé equations
title_fullStr Gauge symmetry origin of Bäcklund transformations for Painlevé equations
title_full_unstemmed Gauge symmetry origin of Bäcklund transformations for Painlevé equations
title_sort Gauge symmetry origin of Bäcklund transformations for Painlevé equations
author Alves, V. C.C. [UNESP]
author_facet Alves, V. C.C. [UNESP]
Aratyn, H
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]
author_role author
author2 Aratyn, H
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
University of Illinois at Chicago
dc.contributor.author.fl_str_mv Alves, V. C.C. [UNESP]
Aratyn, H
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]
dc.subject.por.fl_str_mv Backlund symmetries dressing chain
Integrability
Painleve equations
topic Backlund symmetries dressing chain
Integrability
Painleve equations
description We identify the self-similarity limit of the second flow of sl(N)mKdVhierarchy with the periodic dressing chain thus establishing a connection to A(1) N-1 invariant Painlev'e equations. The A(1) N-1 Bcklund symmetries of dressing equations and Painlev'e equations are obtained in the self-similarity limit of gauge transformations of the mKdV hierarchy realized as zero-curvature equations on the loop algebra sl (N) endowed with a principal gradation.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-25T10:59:04Z
2021-06-25T10:59:04Z
2021-05-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1751-8121/abf2ee
Journal of Physics A: Mathematical and Theoretical, v. 54, n. 19, 2021.
1751-8121
1751-8113
http://hdl.handle.net/11449/207671
10.1088/1751-8121/abf2ee
2-s2.0-85105040813
url http://dx.doi.org/10.1088/1751-8121/abf2ee
http://hdl.handle.net/11449/207671
identifier_str_mv Journal of Physics A: Mathematical and Theoretical, v. 54, n. 19, 2021.
1751-8121
1751-8113
10.1088/1751-8121/abf2ee
2-s2.0-85105040813
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics A: Mathematical and Theoretical
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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
_version_ 1808128286213013504

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