Stable two-dimensional dispersion-managed soliton
Autor(a) principal: | |
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Data de Publicação: | 2003 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.68.066605 http://hdl.handle.net/11449/228433 |
Resumo: | The existence of a dispersion-managed soliton in two-dimensional nonlinear Schrödinger equation with periodically varying dispersion has been explored. The averaged equations for the soliton width and chirp are obtained which successfully describe the long time evolution of the soliton. The slow dynamics of the soliton around the fixed points for the width and chirp are investigated and the corresponding frequencies are calculated. Analytical predictions are confirmed by direct partial differential equation (PDE) and ordinary differential equation (ODE) simulations. Application to a Bose-Einstein condensate in optical lattice is discussed. The existence of a dispersion-managed matter-wave soliton in such system is shown. © 2003 The American Physical Society. |
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Repositório Institucional da UNESP |
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2946 |
spelling |
Stable two-dimensional dispersion-managed solitonThe existence of a dispersion-managed soliton in two-dimensional nonlinear Schrödinger equation with periodically varying dispersion has been explored. The averaged equations for the soliton width and chirp are obtained which successfully describe the long time evolution of the soliton. The slow dynamics of the soliton around the fixed points for the width and chirp are investigated and the corresponding frequencies are calculated. Analytical predictions are confirmed by direct partial differential equation (PDE) and ordinary differential equation (ODE) simulations. Application to a Bose-Einstein condensate in optical lattice is discussed. The existence of a dispersion-managed matter-wave soliton in such system is shown. © 2003 The American Physical Society.Instituto de Fisica Teorica UNESP, Rua Pamplona 145, Sao Paulo, 01405-900Physical-Technical Institute Uzbek Academy of Sciences, 2-b Mavlyanov street, Tashkent, 700084Dipartimento di Fisica “ Eduardo R. Caianiello” Istituto Nazionale di Fisica della Materia (INFM) Universitá di Salerno, Baronissi (SA), I-84081Instituto de Fisica Teorica UNESP, Rua Pamplona 145, Sao Paulo, 01405-900Universidade Estadual Paulista (UNESP)Uzbek Academy of SciencesUniversitá di SalernoAbdullaev, Fatkhulla Kh. [UNESP]Baizakov, Bakhtiyor B. [UNESP]Salerno, Mario2022-04-29T08:14:44Z2022-04-29T08:14:44Z2003-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.68.066605Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 68, n. 6, 2003.1063-651Xhttp://hdl.handle.net/11449/22843310.1103/PhysRevE.68.0666052-s2.0-85035298822Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topicsinfo:eu-repo/semantics/openAccess2022-04-29T08:14:44Zoai:repositorio.unesp.br:11449/228433Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:25:46.167915Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Stable two-dimensional dispersion-managed soliton |
title |
Stable two-dimensional dispersion-managed soliton |
spellingShingle |
Stable two-dimensional dispersion-managed soliton Abdullaev, Fatkhulla Kh. [UNESP] |
title_short |
Stable two-dimensional dispersion-managed soliton |
title_full |
Stable two-dimensional dispersion-managed soliton |
title_fullStr |
Stable two-dimensional dispersion-managed soliton |
title_full_unstemmed |
Stable two-dimensional dispersion-managed soliton |
title_sort |
Stable two-dimensional dispersion-managed soliton |
author |
Abdullaev, Fatkhulla Kh. [UNESP] |
author_facet |
Abdullaev, Fatkhulla Kh. [UNESP] Baizakov, Bakhtiyor B. [UNESP] Salerno, Mario |
author_role |
author |
author2 |
Baizakov, Bakhtiyor B. [UNESP] Salerno, Mario |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Uzbek Academy of Sciences Universitá di Salerno |
dc.contributor.author.fl_str_mv |
Abdullaev, Fatkhulla Kh. [UNESP] Baizakov, Bakhtiyor B. [UNESP] Salerno, Mario |
description |
The existence of a dispersion-managed soliton in two-dimensional nonlinear Schrödinger equation with periodically varying dispersion has been explored. The averaged equations for the soliton width and chirp are obtained which successfully describe the long time evolution of the soliton. The slow dynamics of the soliton around the fixed points for the width and chirp are investigated and the corresponding frequencies are calculated. Analytical predictions are confirmed by direct partial differential equation (PDE) and ordinary differential equation (ODE) simulations. Application to a Bose-Einstein condensate in optical lattice is discussed. The existence of a dispersion-managed matter-wave soliton in such system is shown. © 2003 The American Physical Society. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-01-01 2022-04-29T08:14:44Z 2022-04-29T08:14:44Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevE.68.066605 Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 68, n. 6, 2003. 1063-651X http://hdl.handle.net/11449/228433 10.1103/PhysRevE.68.066605 2-s2.0-85035298822 |
url |
http://dx.doi.org/10.1103/PhysRevE.68.066605 http://hdl.handle.net/11449/228433 |
identifier_str_mv |
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 68, n. 6, 2003. 1063-651X 10.1103/PhysRevE.68.066605 2-s2.0-85035298822 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129066012770304 |