Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation

All generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by...

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Autores:
Loaiza Ossa, Gabriel Ignacio
Acevedo-Agudelo, Yeisson
Londoño-Duque, Oscar
García Hernández, Danilo A.
Tipo de recurso:
Fecha de publicación:
2021
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/31021
Acceso en línea:
http://hdl.handle.net/10784/31021
Palabra clave:
Invariant solutions
Lie symmetry group
Optimal system
Lie algebra classification
variational simmetries
Conservation laws
Soluciones invariantes
grupo de simetrías de Lie
sistema óptimo
clasificación del álgebra de Lie
simetrías variacionales
leyes de conservación
Rights
License
Acceso abierto
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repository_id_str
spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2021-12-012022-03-23T16:59:34Z2021-12-012022-03-23T16:59:34Z1794-91652256-4314http://hdl.handle.net/10784/31021All generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by groups of matrices.Se muestran todos los generadores del álgebra óptima asociados con una generalización de la ecuación de Endem-Fowler; algunos de ellos permiten dar soluciones invariantes. También se muestran las simetrías variacionales y las respectivas leyes de conservación. Finalmente, se muestra una representación del álgebra de simetría de Lie mediante grupos de matrices.application/pdfengUniversidad EAFIThttps://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6909https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6909Copyright © 2021 Gabriel Ignacio Loaiza Ossa, Yeisson Acevedo-Agudelo, Oscar Londoño-Duque, Danilo A. García HernándezAcceso abiertohttp://purl.org/coar/access_right/c_abf2Ingeniería y Ciencia, Vol. 17, Núm. 34 (2021)Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler EquationRepresentación del álgebra de Lie, leyes de conservación y algunas soluciones invariantes para una ecuación de Emden-Fowler generalizadainfo:eu-repo/semantics/articlearticleinfo:eu-repo/semantics/publishedVersionpublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Invariant solutionsLie symmetry groupOptimal systemLie algebra classificationvariational simmetriesConservation lawsSoluciones invariantesgrupo de simetrías de Liesistema óptimoclasificación del álgebra de Liesimetrías variacionalesleyes de conservaciónLoaiza Ossa, Gabriel IgnacioAcevedo-Agudelo, YeissonLondoño-Duque, OscarGarcía Hernández, Danilo A.Universidad EAFITUniversidad EAFITUniversidad EAFITUNICAMPIngeniería y Ciencia173497113ORIGINALLie Algebra Representation.pdfLie Algebra Representation.pdfTexto completo PDFapplication/pdf594873https://repository.eafit.edu.co/bitstreams/f53900ed-74b6-482c-a53d-759d3d141cb1/download0b121768fed1a80efff37691220e1001MD51LieAlgebra.htmlLieAlgebra.htmlTexto completo HTMLtext/html361https://repository.eafit.edu.co/bitstreams/5c3a1dde-14a2-4ff2-b58e-6ef4690edff5/downloadee67305d61927df6323d4a5c17d21208MD53THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/6ba9f4d3-501a-4a1b-9570-4dd37aed558e/downloadda9b21a5c7e00c7f1127cef8e97035e0MD5210784/31021oai:repository.eafit.edu.co:10784/310212022-05-09 14:48:32.14open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
dc.title.spa.fl_str_mv Representación del álgebra de Lie, leyes de conservación y algunas soluciones invariantes para una ecuación de Emden-Fowler generalizada
title Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
spellingShingle Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
Invariant solutions
Lie symmetry group
Optimal system
Lie algebra classification
variational simmetries
Conservation laws
Soluciones invariantes
grupo de simetrías de Lie
sistema óptimo
clasificación del álgebra de Lie
simetrías variacionales
leyes de conservación
title_short Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
title_full Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
title_fullStr Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
title_full_unstemmed Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
title_sort Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
dc.creator.fl_str_mv Loaiza Ossa, Gabriel Ignacio
Acevedo-Agudelo, Yeisson
Londoño-Duque, Oscar
García Hernández, Danilo A.
dc.contributor.author.spa.fl_str_mv Loaiza Ossa, Gabriel Ignacio
Acevedo-Agudelo, Yeisson
Londoño-Duque, Oscar
García Hernández, Danilo A.
dc.contributor.affiliation.spa.fl_str_mv Universidad EAFIT
Universidad EAFIT
Universidad EAFIT
UNICAMP
dc.subject.keyword.eng.fl_str_mv Invariant solutions
Lie symmetry group
Optimal system
Lie algebra classification
variational simmetries
Conservation laws
topic Invariant solutions
Lie symmetry group
Optimal system
Lie algebra classification
variational simmetries
Conservation laws
Soluciones invariantes
grupo de simetrías de Lie
sistema óptimo
clasificación del álgebra de Lie
simetrías variacionales
leyes de conservación
dc.subject.keyword.spa.fl_str_mv Soluciones invariantes
grupo de simetrías de Lie
sistema óptimo
clasificación del álgebra de Lie
simetrías variacionales
leyes de conservación
description All generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by groups of matrices.
publishDate 2021
dc.date.issued.none.fl_str_mv 2021-12-01
dc.date.available.none.fl_str_mv 2022-03-23T16:59:34Z
dc.date.accessioned.none.fl_str_mv 2022-03-23T16:59:34Z
dc.date.none.fl_str_mv 2021-12-01
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
article
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2256-4314
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/31021
identifier_str_mv 1794-9165
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url http://hdl.handle.net/10784/31021
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.none.fl_str_mv https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6909
dc.relation.uri.none.fl_str_mv https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6909
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Acceso abierto
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dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.none.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia, Vol. 17, Núm. 34 (2021)
institution Universidad EAFIT
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