Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach

The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method. The latter provides analytical conditions for the existence of such waves that bifurcate from the homogeneous nonlinear modes of the system and are loca...

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Detalhes bibliográficos
Autores: Kominis, Yannis, Cuevas-Maraver, Jesús, Kevrekidis, Panayotis G., Frantzeskakis, Dimitri J., Bountis, Anastassios
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/81732
Acesso em linha:https://hdl.handle.net/11441/81732
https://doi.org/10.1016/j.chaos.2018.11.021
Access Level:acceso abierto
Palavra-chave:Solitary waves
Complex potentials
Symmetry breaking
PT-symmetry
Melnikov’s method
Homoclinic bifurcations
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spelling Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approachKominis, YannisCuevas-Maraver, JesúsKevrekidis, Panayotis G.Frantzeskakis, Dimitri J.Bountis, AnastassiosSolitary wavesComplex potentialsSymmetry breakingPT-symmetryMelnikov’s methodHomoclinic bifurcationsThe existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method. The latter provides analytical conditions for the existence of such waves that bifurcate from the homogeneous nonlinear modes of the system and are located at specific positions with respect to the underlying potential. It is shown that the necessary conditions for the existence of continuous families of stationary solitary waves, as they arise from Melnikov theory, provide general constraints for the real and imaginary part of the potential, that are not restricted to symmetry conditions or specific types of potentials. Direct simulations are used to compare numerical results with the analytical predictions, as well as to investigate the propagation dynamics of the solitary waves.European Union project AEI/FEDER MAT2016-79866-RElsevierFísica Aplicada IFQM280: Física no LinealEuropean Union (UE)2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/81732https://doi.org/10.1016/j.chaos.2018.11.021reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésChaos, Solitons and Fractals, 118, 222-233.MAT2016-79866-Rhttps://www.sciencedirect.com/science/article/pii/S0960077918308464?dgcid=coauthorinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/817322026-06-17T12:51:07Z
dc.title.none.fl_str_mv Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
title Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
spellingShingle Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
Kominis, Yannis
Solitary waves
Complex potentials
Symmetry breaking
PT-symmetry
Melnikov’s method
Homoclinic bifurcations
title_short Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
title_full Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
title_fullStr Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
title_full_unstemmed Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
title_sort Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
dc.creator.none.fl_str_mv Kominis, Yannis
Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Frantzeskakis, Dimitri J.
Bountis, Anastassios
author Kominis, Yannis
author_facet Kominis, Yannis
Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Frantzeskakis, Dimitri J.
Bountis, Anastassios
author_role author
author2 Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Frantzeskakis, Dimitri J.
Bountis, Anastassios
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Física Aplicada I
FQM280: Física no Lineal
European Union (UE)
dc.subject.none.fl_str_mv Solitary waves
Complex potentials
Symmetry breaking
PT-symmetry
Melnikov’s method
Homoclinic bifurcations
topic Solitary waves
Complex potentials
Symmetry breaking
PT-symmetry
Melnikov’s method
Homoclinic bifurcations
description The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method. The latter provides analytical conditions for the existence of such waves that bifurcate from the homogeneous nonlinear modes of the system and are located at specific positions with respect to the underlying potential. It is shown that the necessary conditions for the existence of continuous families of stationary solitary waves, as they arise from Melnikov theory, provide general constraints for the real and imaginary part of the potential, that are not restricted to symmetry conditions or specific types of potentials. Direct simulations are used to compare numerical results with the analytical predictions, as well as to investigate the propagation dynamics of the solitary waves.
publishDate 2019
dc.date.none.fl_str_mv 2019
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 https://hdl.handle.net/11441/81732
https://doi.org/10.1016/j.chaos.2018.11.021
url https://hdl.handle.net/11441/81732
https://doi.org/10.1016/j.chaos.2018.11.021
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Chaos, Solitons and Fractals, 118, 222-233.
MAT2016-79866-R
https://www.sciencedirect.com/science/article/pii/S0960077918308464?dgcid=coauthor
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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