Triangular rogue wave cascades

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dc.contributor.authorKedziora, David J.
dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2014-11-06T03:02:34Z
dc.date.available2014-11-06T03:02:34Z
dc.date.issued2012-11-08
dc.date.updated2016-02-24T11:22:06Z
dc.description.abstractBy numerically applying the recursive Darboux transformation technique, we study high-order rational solutions of the nonlinear Schrödinger equation that appear spatiotemporally as triangular arrays of Peregrine solitons. These can be considered as rogue wave cascades and complement previously discovered circular cluster forms. In this analysis, we reveal a general parametric restriction for their existence and investigate the interplay between cascade and cluster forms. As a result, we demonstrate how to generate many more hybrid rogue wave solutions, including semicircular clusters that resemble claws.
dc.format9 pages
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/1885/12274
dc.publisherAmerican Physical Society
dc.relationhttp://purl.org/au-research/grants/arc/DP110102068
dc.rightshttp://www.sherpa.ac.uk/romeo/issn/1539-3755/ "...uthor can archive pre-print (ie pre-refereeing), post-print (ie final draft post-refereeing) and publisher's version/PDF On author's personal website, employer's website or institutional repository. Publisher copyright and source must be acknowledged with citation..." from SHERPA/RoMEO site (as at 6/11/14)
dc.sourcePhysical Review E:Statistical, Nonlinear and Soft Matter Physics 86.5 (2012): 056602-1,056602-9
dc.subjectKeywords: Darboux transformations; Dinger equation; High-order; Rational solution; Rogue waves; Triangular arrays; Solitons; Nonlinear equations
dc.titleTriangular rogue wave cascades
dc.typeJournal article
local.bibliographicCitation.issue5
local.bibliographicCitation.startpage9
local.contributor.affiliationKedziora, D, ANU Research School of Physics and Engineeringen_AU
local.contributor.affiliationAnkiewics, A, ANU Research School of Physics and Engineeringen_AU
local.contributor.affiliationAkhmediev, N, ANU Research School of Physics and Engineeringen_AU
local.contributor.authoremaildavid.kedziora@anu.edu.auen_AU
local.contributor.authoremailadrian.ankiewicz@anu.edu.auen_AU
local.contributor.authoremailnail.akhmediev@anu.edu.auen_AU
local.contributor.authoruidu8204998en_AU
local.identifier.absfor040503 - Physical Oceanography
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.absseo940101 - Ability and Disability
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
local.identifier.ariespublicationu4726473xPUB88
local.identifier.citationvolume86
local.identifier.doi10.1103/PhysRevE.86.056602
local.identifier.essn1550-2376en_AU
local.identifier.scopusID2-s2.0-84870417166
local.identifier.thomsonID000310976100001
local.identifier.uidSubmittedByu5259801en_AU
local.publisher.urlhttp://www.aps.org/en_AU
local.type.statusPublished Versionen_AU

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