Differential Galois theory and Darboux transformations for Integrable Systems

We apply the Differential Galois Theory of linear partial differential systems to the Bäcklund–Darboux transformations of the AKNS solitonic partial differential equations. We prove that the Galois group of the transformed system is isomorphic to a subgroup of the Galois group of the initial system....

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Detalles Bibliográficos
Autores: Jiménez, Sonia, Morales-Ruiz, Juan J., Sánchez-Cauce, Raquel, Zurro Moro, Ángeles
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/710648
Acceso en línea:http://hdl.handle.net/10486/710648
https://dx.doi.org/10.1016/j.geomphys.2016.06.016
Access Level:acceso abierto
Palabra clave:darboux transformations
differential Galois theory
integrability
Picard–Vessiot theory
solitons
Matemáticas
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spelling Differential Galois theory and Darboux transformations for Integrable SystemsJiménez, SoniaMorales-Ruiz, Juan J.Sánchez-Cauce, RaquelZurro Moro, Ángelesdarboux transformationsdifferential Galois theoryintegrabilityPicard–Vessiot theorysolitonsMatemáticasWe apply the Differential Galois Theory of linear partial differential systems to the Bäcklund–Darboux transformations of the AKNS solitonic partial differential equations. We prove that the Galois group of the transformed system is isomorphic to a subgroup of the Galois group of the initial system. As an example, we study the integrability in closed form of the linear systems corresponding to the solitonic solutions of KdV equationDepartamento de MatemáticasFacultad de Ciencias20172017-05-01research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/710648https://dx.doi.org/10.1016/j.geomphys.2016.06.016reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7106482026-06-23T12:46:27Z
dc.title.none.fl_str_mv Differential Galois theory and Darboux transformations for Integrable Systems
title Differential Galois theory and Darboux transformations for Integrable Systems
spellingShingle Differential Galois theory and Darboux transformations for Integrable Systems
Jiménez, Sonia
darboux transformations
differential Galois theory
integrability
Picard–Vessiot theory
solitons
Matemáticas
title_short Differential Galois theory and Darboux transformations for Integrable Systems
title_full Differential Galois theory and Darboux transformations for Integrable Systems
title_fullStr Differential Galois theory and Darboux transformations for Integrable Systems
title_full_unstemmed Differential Galois theory and Darboux transformations for Integrable Systems
title_sort Differential Galois theory and Darboux transformations for Integrable Systems
dc.creator.none.fl_str_mv Jiménez, Sonia
Morales-Ruiz, Juan J.
Sánchez-Cauce, Raquel
Zurro Moro, Ángeles
author Jiménez, Sonia
author_facet Jiménez, Sonia
Morales-Ruiz, Juan J.
Sánchez-Cauce, Raquel
Zurro Moro, Ángeles
author_role author
author2 Morales-Ruiz, Juan J.
Sánchez-Cauce, Raquel
Zurro Moro, Ángeles
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv darboux transformations
differential Galois theory
integrability
Picard–Vessiot theory
solitons
Matemáticas
topic darboux transformations
differential Galois theory
integrability
Picard–Vessiot theory
solitons
Matemáticas
description We apply the Differential Galois Theory of linear partial differential systems to the Bäcklund–Darboux transformations of the AKNS solitonic partial differential equations. We prove that the Galois group of the transformed system is isomorphic to a subgroup of the Galois group of the initial system. As an example, we study the integrability in closed form of the linear systems corresponding to the solitonic solutions of KdV equation
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-05-01
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/710648
https://dx.doi.org/10.1016/j.geomphys.2016.06.016
url http://hdl.handle.net/10486/710648
https://dx.doi.org/10.1016/j.geomphys.2016.06.016
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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