Approach to first-order exact solutions of the Ablowitz-Ladik equation

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dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAkhmediev, Nail
dc.contributor.authorLederer, Falk
dc.date.accessioned2015-09-16T06:24:27Z
dc.date.available2015-09-16T06:24:27Z
dc.date.issued2011-05-04
dc.description.abstractWe derive exact solutions of the Ablowitz-Ladik (A-L) equation using a special ansatz that linearly relates the real and imaginary parts of the complex function. This ansatz allows us to derive a family of first-order solutions of the A-L equation with two independent parameters. This novel technique shows that every exact solution of the A-L equation has a direct analog among first-order solutions of the nonlinear Schrödinger equation (NLSE).en_AU
dc.description.sponsorshipTwo of the authors (A.A. and N.A.) acknowledge the support of the Australian Research Council (Discovery Project No. DP0985394). N.A. is a grateful recipient of support from the Alexander von Humboldt Foundation (Germany).en_AU
dc.format6 pagesen_AU
dc.identifier.issn1539-3755en_AU
dc.identifier.urihttp://hdl.handle.net/1885/15442
dc.publisherAmerican Physical Societyen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP0985394en_AU
dc.rights© 2011 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 16/09/15).en_AU
dc.sourcePhysical Review Een_AU
dc.titleApproach to first-order exact solutions of the Ablowitz-Ladik equationen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue5en_AU
local.bibliographicCitation.startpage056602en_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.authoremailadrian.ankiewicz@anu.edu.auen_AU
local.contributor.authoruidu8204998en_AU
local.identifier.citationvolume83en_AU
local.identifier.doi10.1103/PhysRevE.83.056602en_AU
local.identifier.uidSubmittedByu1005913en_AU
local.publisher.urlhttp://www.aps.org/en_AU
local.type.statusPublished Versionen_AU

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