Backlund transformation for integrable hierarchies: example - mKdV hierarchy

Detalhes bibliográficos
Autor(a) principal: Gomes, J. F. [UNESP]
Data de Publicação: 2015
Outros Autores: Retore, A. L. [UNESP], 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://iopscience.iop.org/article/10.1088/1742-6596/597/1/012039/meta
http://hdl.handle.net/11449/128923
Resumo: In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the sinh-Gordon model to all other positive and negative odd graded equations of motion generated by the same affine algebraic structure. Some simple examples of solutions are explicitly verified to satisfy, in a universal manner, the Backlund transformations for the first few odd (positive and negative) sub-hierarchies.
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spelling Backlund transformation for integrable hierarchies: example - mKdV hierarchyIn this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the sinh-Gordon model to all other positive and negative odd graded equations of motion generated by the same affine algebraic structure. Some simple examples of solutions are explicitly verified to satisfy, in a universal manner, the Backlund transformations for the first few odd (positive and negative) sub-hierarchies.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidade Estadual Paulista, Instituto de Física Teórica, São Paulo, BrasilUniversidade Estadual Paulista, Instituto de Física Teórica, São Paulo, BrasilIop Publishing LtdUniversidade Estadual Paulista (Unesp)Gomes, J. F. [UNESP]Retore, A. L. [UNESP]Spano, N. I. [UNESP]Zimerman, A. H. [UNESP]2015-10-21T13:15:41Z2015-10-21T13:15:41Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1-10application/pdfhttp://iopscience.iop.org/article/10.1088/1742-6596/597/1/012039/metaXxxth International Colloquium On Group Theoretical Methods In Physics (icgtmp) (group30). Bristol: Iop Publishing Ltd, v. 597, 10 p., 2015.1742-6588http://hdl.handle.net/11449/12892310.1088/1742-6596/597/1/012039WOS:000354929400039WOS000354929400039.pdf92877760781495518215976645016606Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengXxxth International Colloquium On Group Theoretical Methods In Physics (icgtmp) (group30)0,241info:eu-repo/semantics/openAccess2023-10-02T06:02:02Zoai:repositorio.unesp.br:11449/128923Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:44:05.672034Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Backlund transformation for integrable hierarchies: example - mKdV hierarchy
title Backlund transformation for integrable hierarchies: example - mKdV hierarchy
spellingShingle Backlund transformation for integrable hierarchies: example - mKdV hierarchy
Gomes, J. F. [UNESP]
title_short Backlund transformation for integrable hierarchies: example - mKdV hierarchy
title_full Backlund transformation for integrable hierarchies: example - mKdV hierarchy
title_fullStr Backlund transformation for integrable hierarchies: example - mKdV hierarchy
title_full_unstemmed Backlund transformation for integrable hierarchies: example - mKdV hierarchy
title_sort Backlund transformation for integrable hierarchies: example - mKdV hierarchy
author Gomes, J. F. [UNESP]
author_facet Gomes, J. F. [UNESP]
Retore, A. L. [UNESP]
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]
author_role author
author2 Retore, A. L. [UNESP]
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Gomes, J. F. [UNESP]
Retore, A. L. [UNESP]
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]
description In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the sinh-Gordon model to all other positive and negative odd graded equations of motion generated by the same affine algebraic structure. Some simple examples of solutions are explicitly verified to satisfy, in a universal manner, the Backlund transformations for the first few odd (positive and negative) sub-hierarchies.
publishDate 2015
dc.date.none.fl_str_mv 2015-10-21T13:15:41Z
2015-10-21T13:15:41Z
2015-01-01
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://iopscience.iop.org/article/10.1088/1742-6596/597/1/012039/meta
Xxxth International Colloquium On Group Theoretical Methods In Physics (icgtmp) (group30). Bristol: Iop Publishing Ltd, v. 597, 10 p., 2015.
1742-6588
http://hdl.handle.net/11449/128923
10.1088/1742-6596/597/1/012039
WOS:000354929400039
WOS000354929400039.pdf
9287776078149551
8215976645016606
url http://iopscience.iop.org/article/10.1088/1742-6596/597/1/012039/meta
http://hdl.handle.net/11449/128923
identifier_str_mv Xxxth International Colloquium On Group Theoretical Methods In Physics (icgtmp) (group30). Bristol: Iop Publishing Ltd, v. 597, 10 p., 2015.
1742-6588
10.1088/1742-6596/597/1/012039
WOS:000354929400039
WOS000354929400039.pdf
9287776078149551
8215976645016606
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Xxxth International Colloquium On Group Theoretical Methods In Physics (icgtmp) (group30)
0,241
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1-10
application/pdf
dc.publisher.none.fl_str_mv Iop Publishing Ltd
publisher.none.fl_str_mv Iop Publishing Ltd
dc.source.none.fl_str_mv Web of Science
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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