Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations

Detalhes bibliográficos
Autor(a) principal: Alves, V. C.C. [UNESP]
Data de Publicação: 2020
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/abb725
http://hdl.handle.net/11449/206791
Resumo: We extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II equations for special limits of the underlying parameters. We derive the underlying Bäcklund transformations, symmetry structure and requirements to satisfy Painlevé property.
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spelling Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equationsBacklund transformationsCoalescencePainleve equationsSymmetriesWe extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II equations for special limits of the underlying parameters. We derive the underlying Bäcklund transformations, symmetry structure and requirements to satisfy Painlevé property.Instituto de Física Teórica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco IIDepartment of Physics University of Illinois at Chicago, 845 W. Taylor St.Instituto 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, H.Gomes, J. F. [UNESP]Zimerman, A. H. [UNESP]2021-06-25T10:40:32Z2021-06-25T10:40:32Z2020-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/1751-8121/abb725Journal of Physics A: Mathematical and Theoretical, v. 53, n. 44, 2020.1751-81211751-8113http://hdl.handle.net/11449/20679110.1088/1751-8121/abb7252-s2.0-85095420033Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics A: Mathematical and Theoreticalinfo:eu-repo/semantics/openAccess2021-10-23T15:16:41Zoai:repositorio.unesp.br:11449/206791Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:34:15.586003Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
title Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
spellingShingle Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
Alves, V. C.C. [UNESP]
Backlund transformations
Coalescence
Painleve equations
Symmetries
title_short Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
title_full Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
title_fullStr Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
title_full_unstemmed Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
title_sort Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II 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 transformations
Coalescence
Painleve equations
Symmetries
topic Backlund transformations
Coalescence
Painleve equations
Symmetries
description We extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II equations for special limits of the underlying parameters. We derive the underlying Bäcklund transformations, symmetry structure and requirements to satisfy Painlevé property.
publishDate 2020
dc.date.none.fl_str_mv 2020-11-01
2021-06-25T10:40:32Z
2021-06-25T10:40:32Z
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/abb725
Journal of Physics A: Mathematical and Theoretical, v. 53, n. 44, 2020.
1751-8121
1751-8113
http://hdl.handle.net/11449/206791
10.1088/1751-8121/abb725
2-s2.0-85095420033
url http://dx.doi.org/10.1088/1751-8121/abb725
http://hdl.handle.net/11449/206791
identifier_str_mv Journal of Physics A: Mathematical and Theoretical, v. 53, n. 44, 2020.
1751-8121
1751-8113
10.1088/1751-8121/abb725
2-s2.0-85095420033
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_ 1808129531371847680

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