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Nonlinearity and disorder: Classification and stability of nonlinear impurity modes

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dc.contributor.authorBang, Ole
dc.contributor.authorRasmussen, Per Dalgaard
dc.contributor.authorChristiansen, Peter
dc.contributor.authorSukhorukov, Andrey
dc.contributor.authorKivshar, Yuri
dc.date.accessioned2015-12-10T23:26:23Z
dc.date.available2015-12-10T23:26:23Z
dc.date.issued2001
dc.date.updated2015-12-10T10:59:36Z
dc.description.abstractSpatially localized nonlinear modes supported by a pointlike impurity, in the framework of the generalized nonlinear Schrodinger (NLS) equation were analyzed. Three possible types of such nonlinear impurity modes were considered, symmetric one- and two-hump modes and asymmetric one-hump mode. Their regions of existence and stability for both focusing and defocusing nonlinearity of a bulk medium and two different types of the impurity. An analytical stability criterion for nonlinear localized modes based on the results of the linear stability analysis of the generalized NLS equation was obtained.
dc.identifier.issn1063-651X
dc.identifier.urihttp://hdl.handle.net/1885/67735
dc.publisherAmerican Physical Society
dc.sourcePhysical Review E
dc.subjectKeywords: Eigenvalues and eigenfunctions; High energy physics; Impurities; Light propagation; Nonlinear equations; Optical resolving power; Solitons; System stability; Nonlinear Schrodinger (NLS) equation; Vakhitov-Kolokolov (VK) theory; Nonlinear optics
dc.titleNonlinearity and disorder: Classification and stability of nonlinear impurity modes
dc.typeJournal article
local.bibliographicCitation.issue3
local.bibliographicCitation.lastpage036618
local.bibliographicCitation.startpage036601
local.contributor.affiliationSukhorukov, Andrey, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationKivshar, Yuri, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationBang, Ole, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRasmussen, Per Dalgaard, Technical University of Denmark
local.contributor.affiliationChristiansen, Peter, Technical University of Denmark
local.contributor.authoruidSukhorukov, Andrey, u9810122
local.contributor.authoruidKivshar, Yuri, u9307695
local.contributor.authoruidBang, Ole, u1810340
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationMigratedxPub1511
local.identifier.citationvolume63
local.identifier.scopusID2-s2.0-0035275674
local.type.statusPublished Version

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