Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations

A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard Thomas-Fermi equation for p = 1 is studied in this paper. The entire family is...

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Detalles Bibliográficos
Autores: Stefan C. Mancas, HARET CODRATIAN ROSU
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:México
Institución:Instituto Potosino de Investigación Científica y Tecnológica
Repositorio:Repositorio Institucional del IPICYT
OAI Identifier:oai:ipicyt.repositorioinstitucional.mx:1010/1381
Acceso en línea:http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1381
Access Level:acceso embargado
Palabra clave:info:eu-repo/classification/Autor/Generalized Thomas–Fermi equation
info:eu-repo/classification/Autor/Emden–Fowler equation
info:eu-repo/classification/Autor/Abel equation
info:eu-repo/classification/Autor/Invariant
info:eu-repo/classification/Autor/Dynamical systems
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
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spelling Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equationsStefan C. MancasHARET CODRATIAN ROSUinfo:eu-repo/classification/Autor/Generalized Thomas–Fermi equationinfo:eu-repo/classification/Autor/Emden–Fowler equationinfo:eu-repo/classification/Autor/Abel equationinfo:eu-repo/classification/Autor/Invariantinfo:eu-repo/classification/Autor/Dynamical systemsinfo:eu-repo/classification/cti/1info:eu-repo/classification/cti/22info:eu-repo/classification/cti/22A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard Thomas-Fermi equation for p = 1 is studied in this paper. The entire family is shown to be non integrable by reduction to the corresponding Abel equations whose invariants do not satisfy a known integrability condition. We also discuss the equivalent dynamical system of equations for the standard Thomas-Fermi equation and perform its phase-plane analysis. The results of the latter analysis are similar for the whole class. (C) 2016 Elsevier B.V. All rights reserved.Elsevier Science BV2017-04info:eu-repo/date/embargoEnd/2019-04-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1381reponame:Repositorio Institucional del IPICYTinstname:Instituto Potosino de Investigación Científica y Tecnológicainstacron:IPICYTinfo:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.physa.2016.12.007citation:Haret C. Rosu, Stefan C. Mancas, Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations, Physica A: Statistical Mechanics and its Applications, Volume 471, 2017, Pages 212-218.info:eu-repo/semantics/embargoedAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0oai:ipicyt.repositorioinstitucional.mx:1010/13812024-08-28T03:17:39Z
dc.title.none.fl_str_mv Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
title Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
spellingShingle Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
Stefan C. Mancas
info:eu-repo/classification/Autor/Generalized Thomas–Fermi equation
info:eu-repo/classification/Autor/Emden–Fowler equation
info:eu-repo/classification/Autor/Abel equation
info:eu-repo/classification/Autor/Invariant
info:eu-repo/classification/Autor/Dynamical systems
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/22
title_short Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
title_full Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
title_fullStr Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
title_full_unstemmed Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
title_sort Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
dc.creator.none.fl_str_mv Stefan C. Mancas
HARET CODRATIAN ROSU
author Stefan C. Mancas
author_facet Stefan C. Mancas
HARET CODRATIAN ROSU
author_role author
author2 HARET CODRATIAN ROSU
author2_role author
dc.subject.none.fl_str_mv info:eu-repo/classification/Autor/Generalized Thomas–Fermi equation
info:eu-repo/classification/Autor/Emden–Fowler equation
info:eu-repo/classification/Autor/Abel equation
info:eu-repo/classification/Autor/Invariant
info:eu-repo/classification/Autor/Dynamical systems
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/22
topic info:eu-repo/classification/Autor/Generalized Thomas–Fermi equation
info:eu-repo/classification/Autor/Emden–Fowler equation
info:eu-repo/classification/Autor/Abel equation
info:eu-repo/classification/Autor/Invariant
info:eu-repo/classification/Autor/Dynamical systems
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/22
description A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard Thomas-Fermi equation for p = 1 is studied in this paper. The entire family is shown to be non integrable by reduction to the corresponding Abel equations whose invariants do not satisfy a known integrability condition. We also discuss the equivalent dynamical system of equations for the standard Thomas-Fermi equation and perform its phase-plane analysis. The results of the latter analysis are similar for the whole class. (C) 2016 Elsevier B.V. All rights reserved.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
info:eu-repo/date/embargoEnd/2019-04-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1381
url http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1381
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.physa.2016.12.007
citation:Haret C. Rosu, Stefan C. Mancas, Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations, Physica A: Statistical Mechanics and its Applications, Volume 471, 2017, Pages 212-218.
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv embargoedAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier Science BV
publisher.none.fl_str_mv Elsevier Science BV
dc.source.none.fl_str_mv reponame:Repositorio Institucional del IPICYT
instname:Instituto Potosino de Investigación Científica y Tecnológica
instacron:IPICYT
instname_str Instituto Potosino de Investigación Científica y Tecnológica
instacron_str IPICYT
institution IPICYT
reponame_str Repositorio Institucional del IPICYT
collection Repositorio Institucional del IPICYT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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