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Rogue waves of the nonlinear Schrodinger equation with even symmetric perturbations

Ankiewicz, Adrian; Chowdhury, Amdad; Devine, Natasha; Akhmediev, Nail

Description

We show that a rogue wave solution of the nonlinear Schrödinger equation (NLSE) can survive even-parity perturbations of the equation, such as the addition of a quintic term and fourth-order dispersion. We present a solution which is accurate to the first order for such a perturbation. Our numerical simulations confirm the rogue wave existence when the parameter of perturbation |ν|<0.05.

dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorChowdhury, Amdad
dc.contributor.authorDevine, Natasha
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2014-11-05T04:56:14Z
dc.date.available2014-11-05T04:56:14Z
dc.identifier.issn2040-8978
dc.identifier.urihttp://hdl.handle.net/1885/12268
dc.description.abstractWe show that a rogue wave solution of the nonlinear Schrödinger equation (NLSE) can survive even-parity perturbations of the equation, such as the addition of a quintic term and fourth-order dispersion. We present a solution which is accurate to the first order for such a perturbation. Our numerical simulations confirm the rogue wave existence when the parameter of perturbation |ν|<0.05.
dc.format5 pages
dc.publisherIOP Publishing & European Optical Society
dc.rights© IOP Publishing
dc.sourceJournal of Optics 15.6 (2013): 064007
dc.subjectnonlinear Schrodinger equation
dc.subjectperturbations
dc.subjectrogue waves
dc.subjectquintic
dc.subjecthigher-order dispersion
dc.titleRogue waves of the nonlinear Schrodinger equation with even symmetric perturbations
dc.typeJournal article
local.identifier.citationvolume15
dc.date.issued2013-06
local.identifier.absfor040503 - Physical Oceanography
local.identifier.ariespublicationf5625xPUB3508
local.publisher.urlhttp://www.iop.org/
local.type.statusPublished version
local.contributor.affiliationAnkiewicz, A, ANU Research School of Physics and Engineering
local.contributor.affiliationDevine, N, 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/DP110102068
local.identifier.essn2040-8986
local.bibliographicCitation.issue6
local.bibliographicCitation.startpage5
local.identifier.doi10.1088/2040-8978/15/6/064007
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2015-12-11T08:11:38Z
local.identifier.scopusID2-s2.0-84878888486
local.identifier.thomsonID000320155400008
CollectionsANU Research Publications

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