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Partially Coherent Solitons of Variable Shape in a Slow Kerr-Like Medium: Exact Solutions

Ankiewicz, Adrian; Akhmediev, Nail; Krolikowski, Wieslaw

Description

We carry out a theoretical investigation of the properties of partially coherent solitons for media which have a slow Kerr-like nonlinearity. We find exact solutions of the Nth-order Manakov equations in a general form. These describe partially coherent solitons (PCSs) and their collisions. In fact, the exact solutions allow us to analyze important properties of PCSs such as stationary profiles of the spatial beams and effects resulting from their collisions. In particular, we find,...[Show more]

dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAkhmediev, Nail
dc.contributor.authorKrolikowski, Wieslaw
dc.date.accessioned2015-12-13T23:34:29Z
dc.date.available2015-12-13T23:34:29Z
dc.identifier.issn0031-9007
dc.identifier.urihttp://hdl.handle.net/1885/93471
dc.description.abstractWe carry out a theoretical investigation of the properties of partially coherent solitons for media which have a slow Kerr-like nonlinearity. We find exact solutions of the Nth-order Manakov equations in a general form. These describe partially coherent solitons (PCSs) and their collisions. In fact, the exact solutions allow us to analyze important properties of PCSs such as stationary profiles of the spatial beams and effects resulting from their collisions. In particular, we find, analytically, the number of parameters that control the soliton shape. We present profiles which are symmetric as well as those which are asymmetric. We also find that collisions allow the profiles to remain stationary but cause their shapes to change.
dc.publisherAmerican Physical Society
dc.sourcePhysical Review Letters
dc.titlePartially Coherent Solitons of Variable Shape in a Slow Kerr-Like Medium: Exact Solutions
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume59
dc.date.issued1999
local.identifier.absfor020501 - Classical and Physical Optics
local.identifier.ariespublicationMigratedxPub24828
local.type.statusPublished Version
local.contributor.affiliationAnkiewicz, Adrian, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationKrolikowski, Wieslaw, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationAkhmediev, Nail, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpage6079
local.bibliographicCitation.lastpage6087
dc.date.updated2015-12-12T09:36:10Z
local.identifier.scopusID2-s2.0-0000456420
CollectionsANU Research Publications

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