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Extended nonlinear Schrödinger equation with higher-order odd and even terms and its rogue wave solutions

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dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorWang, Yan
dc.contributor.authorWabnitz, Stefan
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2015-09-15T04:37:00Z
dc.date.available2015-09-15T04:37:00Z
dc.date.issued2014-01-09
dc.description.abstractWe consider an extended nonlinear Schrodinger equation with higher-order odd (third order) and even (fourth ¨ order) terms with variable coefficients. The resulting equation has soliton solutions and approximate rogue wave solutions. We present these solutions up to second order. Moreover, specific constraints on the parameters of higher-order terms provide integrability of the resulting equation, providing a corresponding Lax pair. Particular cases of this equation are the Hirota and the Lakshmanan-Porsezian-Daniel equations. The resulting integrable equation admits exact rogue wave solutions. In particular cases, mentioned above, these solutions are reduced to the rogue wave solutions of the corresponding equations.en_AU
dc.description.sponsorshipA.A. and N.A. acknowledge the support of the Australian Research Council (Discovery Project DP110102068) and also thank the Volkswagen Foundation for financial support.en_AU
dc.format9 pagesen_AU
dc.identifier.issn1539-3755en_AU
dc.identifier.urihttp://hdl.handle.net/1885/15399
dc.publisherAmerican Physical Societyen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP110102068en_AU
dc.rights© 2014 American Physical Society. http://www.sherpa.ac.uk/romeo/issn/1539-3755/..."Publisher's version/PDF may be used. On author's personal website, employer's website or institutional repository" from SHERPA/RoMEO site (as at 15/09/15).en_AU
dc.sourcePhysical Review Een_AU
dc.titleExtended nonlinear Schrödinger equation with higher-order odd and even terms and its rogue wave solutionsen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue1en_AU
local.bibliographicCitation.startpage012907en_AU
local.contributor.affiliationAnkiewicz, A., Optical Sciences Group, Research School of Physics and Engineering, The Australian National Universityen_AU
local.contributor.affiliationWang, Y., 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.authoruidu8204998en_AU
local.identifier.citationvolume89en_AU
local.identifier.doi10.1103/PhysRevE.89.012907en_AU
local.publisher.urlhttp://www.aps.org/en_AU
local.type.statusPublished Versionen_AU

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