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Bifurcations from Stationary to Pulsating Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation

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dc.contributor.authorTsoy, E
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2015-12-13T22:45:37Z
dc.date.issued2005
dc.date.updated2015-12-11T10:24:17Z
dc.description.abstractStationary to pulsating soliton bifurcation analysis of the complex Ginzburg-Landau equation (CGLE) is presented. The analysis is based on a reduction from an infinite-dimensional dynamical dissipative system to a finite-dimensional model. Stationary solitons, with constant amplitude and width, are associated with fixed points in the model. For the first time, pulsating solitons are shown to be stable limit cycles in the finite-dimensional dynamical system. The boundaries between the two types of solutions are obtained approximately from the reduced model. These boundaries are reasonably close to those predicted by direct numerical simulations of the CGLE.
dc.identifier.issn0375-9601
dc.identifier.urihttp://hdl.handle.net/1885/79875
dc.publisherElsevier
dc.sourcePhysics Letters A
dc.titleBifurcations from Stationary to Pulsating Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation
dc.typeJournal article
local.bibliographicCitation.lastpage422
local.bibliographicCitation.startpage417
local.contributor.affiliationTsoy, E, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationAkhmediev, Nail, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidTsoy, E, u4151813
local.contributor.authoruidAkhmediev, Nail, u9111648
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor020501 - Classical and Physical Optics
local.identifier.ariespublicationMigratedxPub8239
local.identifier.citationvolume343
local.identifier.doi10.1016/j.physleta.2005.05.102
local.identifier.scopusID2-s2.0-23144463877
local.type.statusPublished Version

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