Dark-bright discrete solitons: a numerical study of existence, stability and dynamics

the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings, starting from the anti-continuum limit. We find that while single d...

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Authors: Álvarez Chillida, María Azucena, Cuevas-Maraver, Jesús, Romero Romero, Francisco, Kevrekidis, Panayotis G.
Format: article
Publication Date:2011
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/24835
Online Access:http://hdl.handle.net/11441/24835
Access Level:Open access
Keyword:Solitons
Dark solitons
Discrete Nonlinear Schrödinger equations
Manakov model
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spelling Dark-bright discrete solitons: a numerical study of existence, stability and dynamicsÁlvarez Chillida, María AzucenaCuevas-Maraver, JesúsRomero Romero, FranciscoKevrekidis, Panayotis G.SolitonsDark solitonsDiscrete Nonlinear Schrödinger equationsManakov modelthe present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings, starting from the anti-continuum limit. We find that while single discrete dark-bright solitons have similar stability properties to discrete dark solitons, their pairs may only be stable if the bright components are in phase and are always unstable if the bright components are out of phase. Pairs of dark-bright solitons with dark ones have similar stability properties as individual dark or dark-bright ones. Lastly, we consider collisions between dark-bright solitons and between a dark-bright one and a dark one. Especially in the latter and in the regime where the underlying lattice structure matters, we find a wide range of potential dynamical outcomes depending on the initial soliton speed.MICINN project FIS2008-04848Física Atómica, Molecular y NuclearFísica Aplicada IMinisterio de Ciencia e Innovación (MICIN). España2011info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/24835reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésPhysica D: Nonlinear Phenomena, 240 (8), 767–778http://www.sciencedirect.com/science/article/pii/S0167278910003489doi:10.1016/j.physd.2010.12.006info:eu-repo/semantics/openAccessoai:idus.us.es:11441/248352026-06-17T12:51:07Z
dc.title.none.fl_str_mv Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
title Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
spellingShingle Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
Álvarez Chillida, María Azucena
Solitons
Dark solitons
Discrete Nonlinear Schrödinger equations
Manakov model
title_short Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
title_full Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
title_fullStr Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
title_full_unstemmed Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
title_sort Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
dc.creator.none.fl_str_mv Álvarez Chillida, María Azucena
Cuevas-Maraver, Jesús
Romero Romero, Francisco
Kevrekidis, Panayotis G.
author Álvarez Chillida, María Azucena
author_facet Álvarez Chillida, María Azucena
Cuevas-Maraver, Jesús
Romero Romero, Francisco
Kevrekidis, Panayotis G.
author_role author
author2 Cuevas-Maraver, Jesús
Romero Romero, Francisco
Kevrekidis, Panayotis G.
author2_role author
author
author
dc.contributor.none.fl_str_mv Física Atómica, Molecular y Nuclear
Física Aplicada I
Ministerio de Ciencia e Innovación (MICIN). España
dc.subject.none.fl_str_mv Solitons
Dark solitons
Discrete Nonlinear Schrödinger equations
Manakov model
topic Solitons
Dark solitons
Discrete Nonlinear Schrödinger equations
Manakov model
description the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings, starting from the anti-continuum limit. We find that while single discrete dark-bright solitons have similar stability properties to discrete dark solitons, their pairs may only be stable if the bright components are in phase and are always unstable if the bright components are out of phase. Pairs of dark-bright solitons with dark ones have similar stability properties as individual dark or dark-bright ones. Lastly, we consider collisions between dark-bright solitons and between a dark-bright one and a dark one. Especially in the latter and in the regime where the underlying lattice structure matters, we find a wide range of potential dynamical outcomes depending on the initial soliton speed.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/24835
url http://hdl.handle.net/11441/24835
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Physica D: Nonlinear Phenomena, 240 (8), 767–778
http://www.sciencedirect.com/science/article/pii/S0167278910003489
doi:10.1016/j.physd.2010.12.006
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.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 15,301629

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