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Rogue waves and solitons on a cnoidal background

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dc.contributor.authorKedziora, D. J.
dc.contributor.authorAnkiewicz, A.
dc.contributor.authorAkhmediev, N.
dc.date.accessioned2015-09-16T05:04:25Z
dc.date.available2015-09-16T05:04:25Z
dc.date.issued2014-01-23
dc.description.abstractSolutions of the nonlinear Schr¨odinger equation, appearing as rogue waves on a spatially-periodic background envelope, are obtained using the Darboux transformation scheme. Several particular examples are illustrated numerically. These include soliton and breather solutions on a periodic background as well as higher-order structures. The results enrich our knowledge of possible analytic solutions that describe the appearance of rogue waves in a variety of situations.en_AU
dc.description.sponsorshipThe authors acknowledge the support of the Australian Research Council (Discovery Project number DP110102068). N.A. and A.A. acknowledge support from the Volkswagen Stiftung.en_AU
dc.identifier.issn1951-6355en_AU
dc.identifier.urihttp://hdl.handle.net/1885/15440
dc.publisherSpringer Verlagen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP110102068en_AU
dc.rights© EDP Sciences, Springer-Verlag 2014.en_AU
dc.sourceThe European Physical Journal Special Topicsen_AU
dc.titleRogue waves and solitons on a cnoidal backgrounden_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue1en_AU
local.bibliographicCitation.lastpage62en_AU
local.bibliographicCitation.startpage43en_AU
local.contributor.affiliationKedziora, D. J., Optical Sciences Group, Research School of Physics and Engineering, The Australian National Universityen_AU
local.contributor.affiliationAnkiewicz, A., Optical Sciences Group, Research School of Physics and Engineering, The Australian National Universityen_AU
local.contributor.affiliationAkhmediev, N., Optical Sciences Group, Research School of Physics and Engineering, The Australian National Universityen_AU
local.contributor.authoruidu4814101en_AU
local.identifier.citationvolume223en_AU
local.identifier.doi10.1140/epjst/e2014-02083-4en_AU
local.publisher.urlhttp://link.springer.com/en_AU
local.type.statusPublished Versionen_AU

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