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Exact Localized and Periodic Solutions of the Discrete Complex Ginzburg-Landau Equation

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dc.contributor.authorMaruno, K-I
dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2015-12-13T23:08:07Z
dc.date.available2015-12-13T23:08:07Z
dc.date.issued2003
dc.date.updated2015-12-12T08:12:19Z
dc.description.abstractWe study, analytically, the discrete complex cubic Ginzburg-Landau (dCCGL) equation. We derive the energy balance equation for the dCCGL and consider various limiting cases. We have found a set of exact solutions which includes as particular cases periodic solutions in terms of elliptic Jacobi functions, bright and dark soliton solutions, and constant magnitude solutions with phase shifts. We have also found the range of parameters where each exact solution exists. We discuss the common features of these solutions and solutions of the continuous complex Ginzburg-Landau model and solutions of Hamiltonian discrete systems and also their differences.
dc.identifier.issn0030-4018
dc.identifier.urihttp://hdl.handle.net/1885/86526
dc.publisherElsevier
dc.sourceOptics Communications
dc.subjectKeywords: Crystals; Functions; Phase shift; Problem solving; Dissipative discrete solitons; Solitons Discrete complex Ginzburg-Landau equation; Dissipative discrete solitons
dc.titleExact Localized and Periodic Solutions of the Discrete Complex Ginzburg-Landau Equation
dc.typeJournal article
local.bibliographicCitation.lastpage209
local.bibliographicCitation.startpage199
local.contributor.affiliationMaruno, K-I, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationAnkiewicz, Adrian, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationAkhmediev, Nail, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidMaruno, K-I, u4957849
local.contributor.authoruidAnkiewicz, Adrian, u8204998
local.contributor.authoruidAkhmediev, Nail, u9111648
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor020501 - Classical and Physical Optics
local.identifier.ariespublicationMigratedxPub15433
local.identifier.citationvolume221
local.identifier.doi10.1016/S0030-4018(03)01457-3
local.identifier.scopusID2-s2.0-0037562061
local.type.statusPublished Version

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