On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?

Detalhes bibliográficos
Autor(a) principal: Aratyn, Henrik
Data de Publicação: 2006
Outros Autores: Gomes, Jose Francisco [UNESP], Zimerman, Abraham H. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.3842/SIGMA.2006.070
http://hdl.handle.net/11449/69302
Resumo: Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction.
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spelling On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?Bäcklund transformationCamassa-Holm equationIntegrable hierarchiesDifferent gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Physics University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607-7059Instituto de Física Téorica-UNESP, Rua Pamplona 145, 01405-900 São PauloInstituto de Física Téorica-UNESP, Rua Pamplona 145, 01405-900 São PauloUniversity of Illinois at ChicagoUniversidade Estadual Paulista (Unesp)Aratyn, HenrikGomes, Jose Francisco [UNESP]Zimerman, Abraham H. [UNESP]2014-05-27T11:22:04Z2014-05-27T11:22:04Z2006-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.3842/SIGMA.2006.070Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006.1815-0659http://hdl.handle.net/11449/6930210.3842/SIGMA.2006.070WOS:0002070651000692-s2.0-848572731852-s2.0-84857273185.pdf8215976645016606Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)info:eu-repo/semantics/openAccess2024-04-09T15:37:02Zoai:repositorio.unesp.br:11449/69302Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-04-09T15:37:02Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
title On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
spellingShingle On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
Aratyn, Henrik
Bäcklund transformation
Camassa-Holm equation
Integrable hierarchies
title_short On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
title_full On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
title_fullStr On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
title_full_unstemmed On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
title_sort On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
author Aratyn, Henrik
author_facet Aratyn, Henrik
Gomes, Jose Francisco [UNESP]
Zimerman, Abraham H. [UNESP]
author_role author
author2 Gomes, Jose Francisco [UNESP]
Zimerman, Abraham H. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv University of Illinois at Chicago
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Aratyn, Henrik
Gomes, Jose Francisco [UNESP]
Zimerman, Abraham H. [UNESP]
dc.subject.por.fl_str_mv Bäcklund transformation
Camassa-Holm equation
Integrable hierarchies
topic Bäcklund transformation
Camassa-Holm equation
Integrable hierarchies
description Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction.
publishDate 2006
dc.date.none.fl_str_mv 2006-12-01
2014-05-27T11:22:04Z
2014-05-27T11:22:04Z
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/10.3842/SIGMA.2006.070
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006.
1815-0659
http://hdl.handle.net/11449/69302
10.3842/SIGMA.2006.070
WOS:000207065100069
2-s2.0-84857273185
2-s2.0-84857273185.pdf
8215976645016606
url http://dx.doi.org/10.3842/SIGMA.2006.070
http://hdl.handle.net/11449/69302
identifier_str_mv Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006.
1815-0659
10.3842/SIGMA.2006.070
WOS:000207065100069
2-s2.0-84857273185
2-s2.0-84857273185.pdf
8215976645016606
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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_ 1803047090849316864

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