On the homotopy perturbation method for Boussinesq-like equations

Autores
Fernández, Francisco Marcelo
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We comment on some analytical solutions to a class of Boussine sq-like equations derived recently by means of the homotopy perturbation method (HPM). We show that one may obtain exactly the same result by means of the Taylor series in the time variable. We derive more general results by means of traveling waves and argue that a curious superposition principle proposed by the author may not be of any mathematical or physical significance.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
Materia
BOUSSINESQ-LIKE EQUATIONS
HOMOTOPY PERTURBATION METHOD
TAYLOR SERIES
TRAVELLING WAVES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/5168
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/5168
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the homotopy perturbation method for Boussinesq-like equationsFernández, Francisco MarceloBOUSSINESQ-LIKE EQUATIONSHOMOTOPY PERTURBATION METHODTAYLOR SERIESTRAVELLING WAVEShttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We comment on some analytical solutions to a class of Boussine sq-like equations derived recently by means of the homotopy perturbation method (HPM). We show that one may obtain exactly the same result by means of the Taylor series in the time variable. We derive more general results by means of traveling waves and argue that a curious superposition principle proposed by the author may not be of any mathematical or physical significance.Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; ArgentinaElsevier2014-01-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5168Fernández, Francisco Marcelo; On the homotopy perturbation method for Boussinesq-like equations; Elsevier; Applied Mathematics and Computation; 230; 21-1-2014; 208-2100096-3003enginfo:eu-repo/semantics/altIdentifier/arxiv/0907.4481v1info:eu-repo/semantics/altIdentifier/url/10.1016/j.amc.2013.12.154info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0096300313014446info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/0907.4481v1info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2013.12.154info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:53:49Zoai:ri.conicet.gov.ar:11336/5168instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:53:49.861CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the homotopy perturbation method for Boussinesq-like equations
title On the homotopy perturbation method for Boussinesq-like equations
spellingShingle On the homotopy perturbation method for Boussinesq-like equations
Fernández, Francisco Marcelo
BOUSSINESQ-LIKE EQUATIONS
HOMOTOPY PERTURBATION METHOD
TAYLOR SERIES
TRAVELLING WAVES
title_short On the homotopy perturbation method for Boussinesq-like equations
title_full On the homotopy perturbation method for Boussinesq-like equations
title_fullStr On the homotopy perturbation method for Boussinesq-like equations
title_full_unstemmed On the homotopy perturbation method for Boussinesq-like equations
title_sort On the homotopy perturbation method for Boussinesq-like equations
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv BOUSSINESQ-LIKE EQUATIONS
HOMOTOPY PERTURBATION METHOD
TAYLOR SERIES
TRAVELLING WAVES
topic BOUSSINESQ-LIKE EQUATIONS
HOMOTOPY PERTURBATION METHOD
TAYLOR SERIES
TRAVELLING WAVES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We comment on some analytical solutions to a class of Boussine sq-like equations derived recently by means of the homotopy perturbation method (HPM). We show that one may obtain exactly the same result by means of the Taylor series in the time variable. We derive more general results by means of traveling waves and argue that a curious superposition principle proposed by the author may not be of any mathematical or physical significance.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
description We comment on some analytical solutions to a class of Boussine sq-like equations derived recently by means of the homotopy perturbation method (HPM). We show that one may obtain exactly the same result by means of the Taylor series in the time variable. We derive more general results by means of traveling waves and argue that a curious superposition principle proposed by the author may not be of any mathematical or physical significance.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-21
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/5168
Fernández, Francisco Marcelo; On the homotopy perturbation method for Boussinesq-like equations; Elsevier; Applied Mathematics and Computation; 230; 21-1-2014; 208-210
0096-3003
url http://hdl.handle.net/11336/5168
identifier_str_mv Fernández, Francisco Marcelo; On the homotopy perturbation method for Boussinesq-like equations; Elsevier; Applied Mathematics and Computation; 230; 21-1-2014; 208-210
0096-3003
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/arxiv/0907.4481v1
info:eu-repo/semantics/altIdentifier/url/10.1016/j.amc.2013.12.154
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0096300313014446
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/0907.4481v1
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2013.12.154
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613639838892032
score 13.070432

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