Discrete Localized States and Localization Dynamics in Discrete Nonlinear Schrödinger Equations

Peter Leth Christiansen, Yu.B. Gaididei, V.K. Mezentsev, S.L. Musher, Kim Rasmussen, Jens Juul Rasmussen, I.V. Ryzhenkova, S.K Turitsyn

    Research output: Contribution to journalConference articleResearchpeer-review

    Abstract

    Dynamics of two-dimensional discrete structures is studied in the framework of the generalized two-dimensional discrete nonlinear Schrodinger equation. The nonlinear coupling in the form of the Ablowitz-Ladik nonlinearity is taken into account. Stability properties of the stationary solutions are examined. The importance of the existence of stable immobile solitons in the two-dimensional dynamics of the travelling pulses is demonstrated. The process of forming narrow states from initially broad standing or moving excitations through the quasi-collapse mechanism is analyzed. The typical scenario of the two-dimensional quasi-collapse of a moving intense pulse is the formation of pinned narrow spikes.
    Original languageEnglish
    JournalPhysica Scripta
    VolumeT67
    Pages (from-to)160-166
    ISSN0281-1847
    DOIs
    Publication statusPublished - 1996
    EventInternational Conference on Complex Dynamics in Spatially Extended Systems - Niels Bohr Instituttet, Copenhagen, Denmark
    Duration: 26 Sep 199529 Sep 1995

    Conference

    ConferenceInternational Conference on Complex Dynamics in Spatially Extended Systems
    LocationNiels Bohr Instituttet
    CountryDenmark
    CityCopenhagen
    Period26/09/199529/09/1995
    SponsorNiels Bohr Institute, Technical University of Denmark

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