Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien

The goal of this paper is to show that for every n � 4 there exists an ordinary nth-order differential equation which admits exactly SL(2,R) in the usual representation X1 = x · @x, X2 = @x, X3 = x2 · @x, as the corresponding symmetry algebra. At first, the author presents such an ordinary different...

Descripción completa

Detalles Bibliográficos
Autor: Campoamor Stursberg, Otto-Rudwig
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/50711
Acceso en línea:https://hdl.handle.net/20.500.14352/50711
Access Level:acceso abierto
Palabra clave:512
Symmetry
Nth-order ordinary differential equation
Symmetry algebra
SL(2R)
Álgebra
1201 Álgebra
id ES_6bbd813ffb687e8c19cc0585d5ba73f6
oai_identifier_str oai:docta.ucm.es:20.500.14352/50711
network_acronym_str ES
network_name_str España
repository_id_str
spelling Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von PunktsymmetrienCampoamor Stursberg, Otto-Rudwig512SymmetryNth-order ordinary differential equationSymmetry algebraSL(2R)Álgebra1201 ÁlgebraThe goal of this paper is to show that for every n � 4 there exists an ordinary nth-order differential equation which admits exactly SL(2,R) in the usual representation X1 = x · @x, X2 = @x, X3 = x2 · @x, as the corresponding symmetry algebra. At first, the author presents such an ordinary differential equation (ODE) for which the above generators are symmetries, then this ODE is modified by an additional term to exclude further symmetries. The proofs are presented rather as argumentations, whereas the concrete calculations are left to the reader.HeldermannUniversidad Complutense de Madrid20042004-01-0120042004-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/50711reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/507112026-06-02T12:44:21Z
dc.title.none.fl_str_mv Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
title Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
spellingShingle Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
Campoamor Stursberg, Otto-Rudwig
512
Symmetry
Nth-order ordinary differential equation
Symmetry algebra
SL(2R)
Álgebra
1201 Álgebra
title_short Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
title_full Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
title_fullStr Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
title_full_unstemmed Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
title_sort Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
dc.creator.none.fl_str_mv Campoamor Stursberg, Otto-Rudwig
author Campoamor Stursberg, Otto-Rudwig
author_facet Campoamor Stursberg, Otto-Rudwig
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512
Symmetry
Nth-order ordinary differential equation
Symmetry algebra
SL(2R)
Álgebra
1201 Álgebra
topic 512
Symmetry
Nth-order ordinary differential equation
Symmetry algebra
SL(2R)
Álgebra
1201 Álgebra
description The goal of this paper is to show that for every n � 4 there exists an ordinary nth-order differential equation which admits exactly SL(2,R) in the usual representation X1 = x · @x, X2 = @x, X3 = x2 · @x, as the corresponding symmetry algebra. At first, the author presents such an ordinary differential equation (ODE) for which the above generators are symmetries, then this ODE is modified by an additional term to exclude further symmetries. The proofs are presented rather as argumentations, whereas the concrete calculations are left to the reader.
publishDate 2004
dc.date.none.fl_str_mv 2004
2004-01-01
2004
2004-01-01
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/20.500.14352/50711
url https://hdl.handle.net/20.500.14352/50711
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 Heldermann
publisher.none.fl_str_mv Heldermann
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_ 1869410218408935424
score 15,300724

Similares en LA Referencia