On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves

Producción Científica

Detalles Bibliográficos
Autores: Saridaki, Leetha, Durán Martín, Ángel, Dougalis, Vassilios A., saridaki
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/62418
Acceso en línea:https://doi.org/10.1016/j.physd.2021.133051
https://uvadoc.uva.es/handle/10324/62418
Access Level:acceso abierto
Palabra clave:Internal waves
Boussinesq/Boussinesq systems
Solitary waves
Spectral methods
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spelling On solitary-wave solutions of Boussinesq/Boussinesq systems for internal wavesSaridaki, LeethaDurán Martín, ÁngelDougalis, Vassilios A.saridakiInternal wavesBoussinesq/Boussinesq systemsSolitary wavesSpectral methodsProducción CientíficaIn this paper we consider a three-parameter system of Boussinesq/Boussinesq type, modeling the propagation of internal waves. Some theoretical and numerical properties of the systems were previously analyzed by the authors. As a second part of the study, the present paper is concerned with the analysis of existence and the numerical simulation of some issues of the dynamics of solitary-wave solutions. Standard theories are used to derive several results of existence of classical and generalized solitary waves, depending on the parameters of the models. A numerical procedure based on a Fourier collocation approximation for the ode system of the solitary wave profiles with periodic boundary conditions, and on the iterative solution of the resulting fixed-point equations with the Petviashvili scheme combined with vector extrapolation techniques, is used to generate numerically approximations of solitary waves. These are an essential part of a computational study of the dynamics of the solitary waves, both classical and generalized. Using a full discretization based on spectral approximation in space of the corresponding periodic initial-value problem for the systems, and a fourth-order Runge–Kutta method of composition type as time integrator, we explore the evolution of small and large perturbations of the computed solitary-wave profiles, and we study computationally the collisions of solitary waves as well as the resolution of initial data into trains of solitary waves.VA193P20 Junta de Castilla y LeónPID2020-113554GB-I00/AEI/10.13039/501100011033 Ministerio de Ciencia e InnovaciónNorth-Holland2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1016/j.physd.2021.133051https://uvadoc.uva.es/handle/10324/62418reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://doi.org/10.1016/j.physd.2021.133051info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/oai:uvadoc.uva.es:10324/624182026-06-13T12:44:47Z
dc.title.none.fl_str_mv On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
title On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
spellingShingle On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
Saridaki, Leetha
Internal waves
Boussinesq/Boussinesq systems
Solitary waves
Spectral methods
title_short On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
title_full On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
title_fullStr On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
title_full_unstemmed On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
title_sort On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
dc.creator.none.fl_str_mv Saridaki, Leetha
Durán Martín, Ángel
Dougalis, Vassilios A.
saridaki
author Saridaki, Leetha
author_facet Saridaki, Leetha
Durán Martín, Ángel
Dougalis, Vassilios A.
saridaki
author_role author
author2 Durán Martín, Ángel
Dougalis, Vassilios A.
saridaki
author2_role author
author
author
dc.subject.none.fl_str_mv Internal waves
Boussinesq/Boussinesq systems
Solitary waves
Spectral methods
topic Internal waves
Boussinesq/Boussinesq systems
Solitary waves
Spectral methods
description Producción Científica
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1016/j.physd.2021.133051
https://uvadoc.uva.es/handle/10324/62418
url https://doi.org/10.1016/j.physd.2021.133051
https://uvadoc.uva.es/handle/10324/62418
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.physd.2021.133051
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
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 North-Holland
publisher.none.fl_str_mv North-Holland
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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