On the homotopy perturbation method for Boussinesq-like equations

We comment on some analytical solutions to a class of Boussinesq-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 trav...

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Detalles Bibliográficos
Autor principal: Fernández, Francisco Marcelo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2014
Materias:
Física
Boussinesq-like equations
Homotopy perturbation method
Taylor series
Travelling waves
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100780
https://ri.conicet.gov.ar/11336/5168
https://www.sciencedirect.com/science/article/abs/pii/S0096300313014446?via%3Dihub
http://arxiv.org/abs/0907.4481v1
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-100780
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Boussinesq-like equations
Homotopy perturbation method
Taylor series
Travelling waves
spellingShingle Física
Boussinesq-like equations
Homotopy perturbation method
Taylor series
Travelling waves
Fernández, Francisco Marcelo
On the homotopy perturbation method for Boussinesq-like equations
topic_facet Física
Boussinesq-like equations
Homotopy perturbation method
Taylor series
Travelling waves
description We comment on some analytical solutions to a class of Boussinesq-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.
format Articulo
Preprint
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_sort Fernández, Francisco Marcelo
title On the homotopy perturbation method for Boussinesq-like equations
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
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/100780
https://ri.conicet.gov.ar/11336/5168
https://www.sciencedirect.com/science/article/abs/pii/S0096300313014446?via%3Dihub
http://arxiv.org/abs/0907.4481v1
work_keys_str_mv AT fernandezfranciscomarcelo onthehomotopyperturbationmethodforboussinesqlikeequations
bdutipo_str Repositorios
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