Energy thresholds for the existence of breather solutions and traveling waves on lattices

We discuss the existence of breathers and of energy thresholds for their formation in DNLS lattices with linear and nonlinear impurities. In the case of linear impurities we present some new results concerning important differences between the attractive and repulsive impurity which is interplaying...

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Autores: Cuevas-Maraver, Jesús, Karachalios, Nikolaos I., Palmero Acebedo, Faustino
Tipo de documento: artigo
Data de publicação:2010
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/24831
Acesso em linha:http://hdl.handle.net/11441/24831
https://doi.org/10.1080/00036810903277135
Access Level:Acceso aberto
Palavra-chave:DNLS lattices
FPU lattices
discrete breathers
travelling waves
energy thresholds
impurities
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spelling Energy thresholds for the existence of breather solutions and traveling waves on latticesCuevas-Maraver, JesúsKarachalios, Nikolaos I.Palmero Acebedo, FaustinoDNLS latticesFPU latticesdiscrete breatherstravelling wavesenergy thresholdsimpuritiesWe discuss the existence of breathers and of energy thresholds for their formation in DNLS lattices with linear and nonlinear impurities. In the case of linear impurities we present some new results concerning important differences between the attractive and repulsive impurity which is interplaying with a power nonlinearity. These differences concern the coexistence or the existence of staggered and unstaggered breather profile patterns. We also distinguish between the excitation threshold (the positive minimum of the power observed when the dimension of the lattice is greater or equal to some critical value) and explicit analytical lower bounds on the power (predicting the smallest value of the power a discrete breather one-parameter family), which are valid for any dimension. Extended numerical studies in one, two and three dimensional lattices justify that the theoretical bounds can be considered as thresholds for the existence of the frequency parametrized families. The discussion reviews and extends the issue of the excitation threshold in lattices with nonlinear impu- rities while lower bounds, with respect to the kinetic energy, are also discussed for traveling waves in FPU periodic lattices.Física Aplicada I2010info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/24831https://doi.org/10.1080/00036810903277135reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésApplicable Analysis: An International Journal, 89 (9), 1351-1385http://www.tandfonline.com/doi/full/10.1080/00036810903277135DOI: 10.1080/00036810903277135http://dx.doi.org/10.1080/00036810903277135info:eu-repo/semantics/openAccessoai:idus.us.es:11441/248312026-06-17T12:51:07Z
dc.title.none.fl_str_mv Energy thresholds for the existence of breather solutions and traveling waves on lattices
title Energy thresholds for the existence of breather solutions and traveling waves on lattices
spellingShingle Energy thresholds for the existence of breather solutions and traveling waves on lattices
Cuevas-Maraver, Jesús
DNLS lattices
FPU lattices
discrete breathers
travelling waves
energy thresholds
impurities
title_short Energy thresholds for the existence of breather solutions and traveling waves on lattices
title_full Energy thresholds for the existence of breather solutions and traveling waves on lattices
title_fullStr Energy thresholds for the existence of breather solutions and traveling waves on lattices
title_full_unstemmed Energy thresholds for the existence of breather solutions and traveling waves on lattices
title_sort Energy thresholds for the existence of breather solutions and traveling waves on lattices
dc.creator.none.fl_str_mv Cuevas-Maraver, Jesús
Karachalios, Nikolaos I.
Palmero Acebedo, Faustino
author Cuevas-Maraver, Jesús
author_facet Cuevas-Maraver, Jesús
Karachalios, Nikolaos I.
Palmero Acebedo, Faustino
author_role author
author2 Karachalios, Nikolaos I.
Palmero Acebedo, Faustino
author2_role author
author
dc.contributor.none.fl_str_mv Física Aplicada I
dc.subject.none.fl_str_mv DNLS lattices
FPU lattices
discrete breathers
travelling waves
energy thresholds
impurities
topic DNLS lattices
FPU lattices
discrete breathers
travelling waves
energy thresholds
impurities
description We discuss the existence of breathers and of energy thresholds for their formation in DNLS lattices with linear and nonlinear impurities. In the case of linear impurities we present some new results concerning important differences between the attractive and repulsive impurity which is interplaying with a power nonlinearity. These differences concern the coexistence or the existence of staggered and unstaggered breather profile patterns. We also distinguish between the excitation threshold (the positive minimum of the power observed when the dimension of the lattice is greater or equal to some critical value) and explicit analytical lower bounds on the power (predicting the smallest value of the power a discrete breather one-parameter family), which are valid for any dimension. Extended numerical studies in one, two and three dimensional lattices justify that the theoretical bounds can be considered as thresholds for the existence of the frequency parametrized families. The discussion reviews and extends the issue of the excitation threshold in lattices with nonlinear impu- rities while lower bounds, with respect to the kinetic energy, are also discussed for traveling waves in FPU periodic lattices.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/24831
https://doi.org/10.1080/00036810903277135
url http://hdl.handle.net/11441/24831
https://doi.org/10.1080/00036810903277135
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Applicable Analysis: An International Journal, 89 (9), 1351-1385
http://www.tandfonline.com/doi/full/10.1080/00036810903277135
DOI: 10.1080/00036810903277135
http://dx.doi.org/10.1080/00036810903277135
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 15,301603

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