Fractional discrete vortex solitons

We examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new, effective site-energy term, and a coupling among sites, whose range depends on the value of the fractional ex...

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Autores:
Mejía-Cortés, Cristian
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad del Atlántico
Repositorio:
Repositorio Uniatlantico
Idioma:
eng
OAI Identifier:
oai:repositorio.uniatlantico.edu.co:20.500.12834/1137
Acceso en línea:
https://hdl.handle.net/20.500.12834/1137
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dc.title.spa.fl_str_mv Fractional discrete vortex solitons
dc.title.alternative.spa.fl_str_mv Fractional discrete vortex solitons
title Fractional discrete vortex solitons
spellingShingle Fractional discrete vortex solitons
title_short Fractional discrete vortex solitons
title_full Fractional discrete vortex solitons
title_fullStr Fractional discrete vortex solitons
title_full_unstemmed Fractional discrete vortex solitons
title_sort Fractional discrete vortex solitons
dc.creator.fl_str_mv Mejía-Cortés, Cristian
dc.contributor.author.none.fl_str_mv Mejía-Cortés, Cristian
dc.contributor.other.none.fl_str_mv I. Molina, Mario
description We examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new, effective site-energy term, and a coupling among sites, whose range depends on the value of the fractional exponent α, becoming effectively long-range at small α values. At long-distance, it can be shown that this coupling decreases faster than exponential: ∼ exp(−|n|)/ p |n|. In general, we observe that the stability domain of the discrete vortex solitons is extended to lower power levels, as the α coefficient diminishes, independently of their topological charge and/or pattern distribution.
publishDate 2020
dc.date.submitted.none.fl_str_mv 2020-12-14
dc.date.issued.none.fl_str_mv 2021-02-09
dc.date.accessioned.none.fl_str_mv 2022-12-19T02:41:11Z
dc.date.available.none.fl_str_mv 2022-12-19T02:41:11Z
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dc.type.spa.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.citation.spa.fl_str_mv Mejía-Cortés, C., & Molina, M.I. (2021). Fractional discrete vortex solitons. Optics letters, 46 10, 2256-2259 .
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12834/1137
dc.identifier.doi.none.fl_str_mv 10.1364/OL.421970
dc.identifier.instname.spa.fl_str_mv Universidad del Atlántico
dc.identifier.reponame.spa.fl_str_mv Repositorio Universidad del Atlántico
identifier_str_mv Mejía-Cortés, C., & Molina, M.I. (2021). Fractional discrete vortex solitons. Optics letters, 46 10, 2256-2259 .
10.1364/OL.421970
Universidad del Atlántico
Repositorio Universidad del Atlántico
url https://hdl.handle.net/20.500.12834/1137
dc.language.iso.spa.fl_str_mv eng
language eng
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eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.place.spa.fl_str_mv Barranquilla
dc.publisher.discipline.spa.fl_str_mv Física
dc.publisher.sede.spa.fl_str_mv Sede Norte
dc.source.spa.fl_str_mv The Optical Society
institution Universidad del Atlántico
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spelling Mejía-Cortés, Cristian2a493b1c-8a2c-45e8-a986-e6db285d682bI. Molina, Mario2022-12-19T02:41:11Z2022-12-19T02:41:11Z2021-02-092020-12-14Mejía-Cortés, C., & Molina, M.I. (2021). Fractional discrete vortex solitons. Optics letters, 46 10, 2256-2259 .https://hdl.handle.net/20.500.12834/113710.1364/OL.421970Universidad del AtlánticoRepositorio Universidad del AtlánticoWe examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new, effective site-energy term, and a coupling among sites, whose range depends on the value of the fractional exponent α, becoming effectively long-range at small α values. At long-distance, it can be shown that this coupling decreases faster than exponential: ∼ exp(−|n|)/ p |n|. 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Express 22, 20574 (2014).http://purl.org/coar/resource_type/c_2df8fbb1ORIGINALFractional_discrete_vortex_solitons.pdfFractional_discrete_vortex_solitons.pdfapplication/pdf3253006https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/1137/1/Fractional_discrete_vortex_solitons.pdf2c0c93fbc37ab6550834196862acdb52MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/1137/2/license_rdf24013099e9e6abb1575dc6ce0855efd5MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/1137/3/license.txt67e239713705720ef0b79c50b2ececcaMD5320.500.12834/1137oai:repositorio.uniatlantico.edu.co:20.500.12834/11372022-12-18 21:41:12.57DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.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