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Rogue waves and solitons on a cnoidal background

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Kedziora, D. J.; Ankiewicz, A.; Akhmediev, N.

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Solutions 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.

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.identifier.issn1951-6355
dc.identifier.urihttp://hdl.handle.net/1885/15440
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.
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.
dc.publisherSpringer Verlag
dc.rights© EDP Sciences, Springer-Verlag 2014.
dc.sourceThe European Physical Journal Special Topics
dc.titleRogue waves and solitons on a cnoidal background
dc.typeJournal article
local.identifier.citationvolume223
dc.date.issued2014-01-23
local.publisher.urlhttp://link.springer.com/
local.type.statusPublished Version
local.contributor.affiliationKedziora, D. J., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University
local.contributor.affiliationAnkiewicz, A., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University
local.contributor.affiliationAkhmediev, N., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University
dc.relationhttp://purl.org/au-research/grants/arc/DP110102068
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage43
local.bibliographicCitation.lastpage62
local.identifier.doi10.1140/epjst/e2014-02083-4
CollectionsANU Research Publications

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