Dynamics of breathers in discrete nonlinear Schrodinger models

Peter Leth Christiansen, Magnus Johansson, Serge Aubry, Yuri B. Gaididei, Kim Rasmussen

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    Abstract

    We review some recent results concerning the existence and stability of spatially localized and temporally quasiperiodic (non-stationary) excitations in discrete nonlinear Schrodinger (DNLS) models. In two dimensions, we show the existence of linearly stable, stationary and non-stationary localized vortex-like solutions. We also show that stationary on-site localized excitations can have internal 'breathing' modes which are spatially localized and symmetric. The excitation of these modes leads to slowly decaying, quasiperiodic oscillations. Finally, we show that for some generalizations of the DNLS equation where bistability occurs, a controlled switching between stable states is possible by exciting an internal breathing mode above a threshold value. (C) 1998 Elsevier Science B.V.
    Original languageEnglish
    JournalPhysica D: Nonlinear Phenomena
    Volume119
    Issue number1-2
    Pages (from-to)115-124
    ISSN0167-2789
    DOIs
    Publication statusPublished - 1998

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