Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation

Producción Científica

Detalles Bibliográficos
Autores: Durán Martín, Ángel, Reguera, Nuria
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/75213
Acceso en línea:https://doi.org/10.1007/s00332-024-10086-8
https://uvadoc.uva.es/handle/10324/75213
Access Level:acceso abierto
Palabra clave:Fractional nonlinear Schrödinger equations
Solitary waves
Petviashvili iterative method
Pseudospectral methods
12 Matemáticas
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spelling Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generationDurán Martín, ÁngelReguera, NuriaFractional nonlinear Schrödinger equationsSolitary wavesPetviashvili iterative methodPseudospectral methods12 MatemáticasProducción CientíficaThe present paper is the first part of a project devoted to the fractional nonlinear Schrödinger (fNLS) equation. It is concerned with the existence and numerical gener- ation of the solitary-wave solutions. For the first point, some conserved quantities of the problem are used to search for solitary-wave solutions from a constrained critical point problem and the application of the concentration-compactness theory. Several properties of the waves, such as the regularity and the asymptotic decay in some cases, are derived from the existence result. Some other properties, such as the monotone behavior and the speed-amplitude relation, will be explored computationally. To this end, a numerical procedure for the generation of the profiles is proposed. The method is based on a Fourier pseudospectral approximation of the differential system for the profiles and the use of Petviashvili’s iteration with extrapolation.Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLEThe authors are supported by the Spanish Agencia Estatal de Investigación under Research Grant PID2023-147073NB-I00.Springer2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://doi.org/10.1007/s00332-024-10086-8https://uvadoc.uva.es/handle/10324/75213reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://link.springer.com/article/10.1007/s00332-024-10086-8info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:uvadoc.uva.es:10324/752132026-06-13T12:44:47Z
dc.title.none.fl_str_mv Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
title Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
spellingShingle Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
Durán Martín, Ángel
Fractional nonlinear Schrödinger equations
Solitary waves
Petviashvili iterative method
Pseudospectral methods
12 Matemáticas
title_short Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
title_full Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
title_fullStr Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
title_full_unstemmed Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
title_sort Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
dc.creator.none.fl_str_mv Durán Martín, Ángel
Reguera, Nuria
author Durán Martín, Ángel
author_facet Durán Martín, Ángel
Reguera, Nuria
author_role author
author2 Reguera, Nuria
author2_role author
dc.subject.none.fl_str_mv Fractional nonlinear Schrödinger equations
Solitary waves
Petviashvili iterative method
Pseudospectral methods
12 Matemáticas
topic Fractional nonlinear Schrödinger equations
Solitary waves
Petviashvili iterative method
Pseudospectral methods
12 Matemáticas
description Producción Científica
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1007/s00332-024-10086-8
https://uvadoc.uva.es/handle/10324/75213
url https://doi.org/10.1007/s00332-024-10086-8
https://uvadoc.uva.es/handle/10324/75213
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s00332-024-10086-8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
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