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Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift

Ankiewicz, Adrian; Soto-Crespo, Jose M.; Chowdhury, M. Amdadul; Akhmediev, Nail

Description

Rogue waves in optical fibers can be mathematically described by the nonlinear Schrödinger equation and its extensions that take into account third-order dispersion, self-steepening, and self-frequency shift. These equations are integrable in special cases such as the Sasa–Satsuma or the Hirota equations. However, approximate polynomial solutions can also be obtained in cases beyond these integrable ones. We present these solutions and confirm their validity using numerical simulations.

dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorSoto-Crespo, Jose M.
dc.contributor.authorChowdhury, M. Amdadul
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2014-11-05T05:50:22Z
dc.date.available2014-11-05T05:50:22Z
dc.identifier.issn0740-3224
dc.identifier.urihttp://hdl.handle.net/1885/12270
dc.description.abstractRogue waves in optical fibers can be mathematically described by the nonlinear Schrödinger equation and its extensions that take into account third-order dispersion, self-steepening, and self-frequency shift. These equations are integrable in special cases such as the Sasa–Satsuma or the Hirota equations. However, approximate polynomial solutions can also be obtained in cases beyond these integrable ones. We present these solutions and confirm their validity using numerical simulations.
dc.format87-94
dc.publisherOptical Society of America
dc.rights© 2012 Optical Society of America
dc.sourceJournal of the Optical Society of America B 30.1 (2013): 87-94
dc.subjectKeywords: Dinger equation; Hirota equation; Polynomial solution; Rogue waves; Self-frequency shift; Self-steepening; Third order dispersion; Electromagnetic dispersion; Frequency shift keying; Optical fibers; Polynomials; Nonlinear equations
dc.titleRogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift
dc.typeJournal article
local.description.notesThe work of J. M. S. C. is supported by the MINECO under contract FIS2009-09895
local.identifier.citationvolume30
dc.date.issued2013-01
local.identifier.absfor020500 - OPTICAL PHYSICS
local.identifier.ariespublicationf5625xPUB2145
local.publisher.urlhttp://www.opticsinfobase.org
local.type.statusPublished version
local.contributor.affiliationAnkiewicz, A, ANU Research School of Physics and Engineering
local.contributor.affiliationchowdhury, M A, ANU Research School of Physics and Engineering
local.contributor.affiliationAkhmediev, N, ANU Research School of Physics and Engineering
dc.relationhttp://purl.org/au-research/grants/arc/DP10102068
local.identifier.essn1520-8540
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage87
local.bibliographicCitation.lastpage94
local.identifier.doi10.1364/JOSAB.30.000087
dc.date.updated2016-02-24T08:55:06Z
local.identifier.scopusID2-s2.0-84871727525
CollectionsANU Research Publications

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