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Discreteness-induced oscillatory instabilities of dark solitons

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Johansson, Magnus; Kivshar, Yuri

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We reveal that even weak inherent discreteness of a nonlinear model can lead to instabilities of the localized modes it supports. We present the first example of an oscillatory instability of dark solitons, and analyze how it may occur for dark solitons of the discrete nonlinear Schrödinger and generalized Ablowitz-Ladik equations. [S0031-9007(98)08088-0]

dc.contributor.authorJohansson, Magnus
dc.contributor.authorKivshar, Yuri
dc.date.accessioned2009-09-09T03:51:48Z
dc.date.accessioned2010-12-20T06:05:09Z
dc.date.available2009-09-09T03:51:48Z
dc.date.available2010-12-20T06:05:09Z
dc.identifier.citationPhysical Review Letters 82.1 (1999): 85-88
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/10440/817
dc.identifier.urihttp://digitalcollections.anu.edu.au/handle/10440/817
dc.description.abstractWe reveal that even weak inherent discreteness of a nonlinear model can lead to instabilities of the localized modes it supports. We present the first example of an oscillatory instability of dark solitons, and analyze how it may occur for dark solitons of the discrete nonlinear Schrödinger and generalized Ablowitz-Ladik equations. [S0031-9007(98)08088-0]
dc.format4 pages
dc.publisherAmerican Physical Society
dc.rightshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©1999 The American Physical Society
dc.sourcePhysical Review Letters
dc.source.urihttp://prola.aps.org/abstract/PRL/v82/i1/p85_1
dc.titleDiscreteness-induced oscillatory instabilities of dark solitons
dc.typeJournal article
local.description.refereedYes
local.identifier.citationvolume82
dc.date.issued1999-01-04
local.identifier.absfor020501
local.identifier.ariespublicationMigratedxPub24837
local.type.statusPublished Version
local.contributor.affiliationJohansson, Magnus, Linkoping University
local.contributor.affiliationKivshar, Yuri S, Research School of Physical Sciences and Engineering, Non-Linear Physics Centre
local.bibliographicCitation.startpage85
local.bibliographicCitation.lastpage88
local.identifier.doi10.1103/PhysRevLett.82.85
dc.date.updated2015-12-12T09:36:16Z
local.identifier.scopusID2-s2.0-0002973277
CollectionsANU Research Publications

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