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Rogue Waves and Rational Solutions of the Non-linear Schrodinger Equation

Akhmediev, Nail; Ankiewicz, Adrian; Soto-Crespo, J.M.

Description

We present a method for finding the hierarchy of rational solutions of the self-focusing nonlinear Schrödinger equation and present explicit forms for these solutions from first to fourth order. We also explain their relation to the highest amplitude par

dc.contributor.authorAkhmediev, Nail
dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorSoto-Crespo, J.M.
dc.date.accessioned2015-12-07T22:44:13Z
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/1885/25100
dc.description.abstractWe present a method for finding the hierarchy of rational solutions of the self-focusing nonlinear Schrödinger equation and present explicit forms for these solutions from first to fourth order. We also explain their relation to the highest amplitude par
dc.publisherAmerican Physical Society
dc.sourcePhysical Review E-Statistical, Nonlinear and Soft Matter Physics
dc.subjectKeywords: A-plane; Deep ocean; Dinger equation; Explicit form; Fourth order; Light pulse; Radiation waves; Rational solution; Rogue waves; Self-focusing; Small amplitude; Oceanography; Optical fibers; Nonlinear equations
dc.titleRogue Waves and Rational Solutions of the Non-linear Schrodinger Equation
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume80
dc.date.issued2009
local.identifier.absfor020503 - Nonlinear Optics and Spectroscopy
local.identifier.ariespublicationu4348025xPUB36
local.type.statusPublished Version
local.contributor.affiliationAkhmediev, Nail, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationAnkiewicz, Adrian, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSoto-Crespo, J.M., Instituto de Optica
local.description.embargo2037-12-31
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage9
local.identifier.doi10.1103/PhysRevE.80.026601
dc.date.updated2016-02-24T11:05:09Z
local.identifier.scopusID2-s2.0-68949175669
local.identifier.thomsonID000269637900083
CollectionsANU Research Publications

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