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Exploding Solitons and Shilnikovs Theorem

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dc.contributor.authorAkhmediev, Nail
dc.contributor.authorSoto-Crespo, Jose M
dc.date.accessioned2015-12-13T23:08:26Z
dc.date.available2015-12-13T23:08:26Z
dc.date.issued2003
dc.date.updated2015-12-12T08:13:43Z
dc.description.abstractWe have performed a detailed linear stability analysis of exploding solitons of the complex cubic-quintic Ginzburg-Landau (CGLE) equation. We have found, numerically, the whole set of perturbation eigenvalues for these solitons. We propose a scenario of soliton evolution based on this spectrum of eigenvalues. We relate exploding and self-restoring behavior of solitons to the Shil'nikov theorem, and point out common features and differences between our system, with an infinite number of degrees of freedom, and Shil'nikov's system with three degrees of freedom.
dc.identifier.issn0375-9601
dc.identifier.urihttp://hdl.handle.net/1885/86691
dc.publisherElsevier
dc.sourcePhysics Letters A
dc.subjectKeywords: article; elementary particle; evolution; explosion; linear system; mathematics; molecular stability; oscillation; theory Complex Ginzburg-Landau equation; Dissipative solitons
dc.titleExploding Solitons and Shilnikovs Theorem
dc.typeJournal article
local.bibliographicCitation.lastpage292
local.bibliographicCitation.startpage287
local.contributor.affiliationAkhmediev, Nail, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSoto-Crespo, Jose M, Consejo Superior de Investigaciones Cientificas
local.contributor.authoruidAkhmediev, Nail, u9111648
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor020501 - Classical and Physical Optics
local.identifier.ariespublicationMigratedxPub15640
local.identifier.citationvolume317
local.identifier.doi10.1016/j.physleta.2003.08.060
local.identifier.scopusID2-s2.0-0142059923
local.type.statusPublished Version

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