Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type

A hierarchy of infinite-dimensional systems of hydrodynamic type is considered and a general scheme for classifying its reductions is provided. Wide families of integrable systems including, in particular, those associated with energy-dependent spectral problems of Schrodinger type, are characterize...

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Detalles Bibliográficos
Autores: Martínez Alonso, Luis, Shabat, A. B.
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59824
Acceso en línea:https://hdl.handle.net/20.500.14352/59824
Access Level:acceso abierto
Palabra clave:51-73
Integrable hierarchies
Benney equations
Kp hierarchy
Dispersionless
Reductions
Física-Modelos matemáticos
Física matemática
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spelling Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic typeMartínez Alonso, LuisShabat, A. B.51-73Integrable hierarchiesBenney equationsKp hierarchyDispersionlessReductionsFísica-Modelos matemáticosFísica matemáticaA hierarchy of infinite-dimensional systems of hydrodynamic type is considered and a general scheme for classifying its reductions is provided. Wide families of integrable systems including, in particular, those associated with energy-dependent spectral problems of Schrodinger type, are characterized as reductions of this hierarchy. N-phase type reductions and their corresponding Dubrovin equations are analyzed. A symmetry transformation connecting different classes of reductions is formulated.ElsevierUniversidad Complutense de Madrid20022002-07-2220022002-07-22journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/59824reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/598242026-06-02T12:44:21Z
dc.title.none.fl_str_mv Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
title Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
spellingShingle Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
Martínez Alonso, Luis
51-73
Integrable hierarchies
Benney equations
Kp hierarchy
Dispersionless
Reductions
Física-Modelos matemáticos
Física matemática
title_short Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
title_full Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
title_fullStr Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
title_full_unstemmed Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
title_sort Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
dc.creator.none.fl_str_mv Martínez Alonso, Luis
Shabat, A. B.
author Martínez Alonso, Luis
author_facet Martínez Alonso, Luis
Shabat, A. B.
author_role author
author2 Shabat, A. B.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Integrable hierarchies
Benney equations
Kp hierarchy
Dispersionless
Reductions
Física-Modelos matemáticos
Física matemática
topic 51-73
Integrable hierarchies
Benney equations
Kp hierarchy
Dispersionless
Reductions
Física-Modelos matemáticos
Física matemática
description A hierarchy of infinite-dimensional systems of hydrodynamic type is considered and a general scheme for classifying its reductions is provided. Wide families of integrable systems including, in particular, those associated with energy-dependent spectral problems of Schrodinger type, are characterized as reductions of this hierarchy. N-phase type reductions and their corresponding Dubrovin equations are analyzed. A symmetry transformation connecting different classes of reductions is formulated.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-07-22
2002
2002-07-22
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/59824
url https://hdl.handle.net/20.500.14352/59824
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.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869407728807444480
score 15,301603

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