Sharper criteria for the wave collapse

E.A. Kuznetsov, J. Juul Rasmussen, K. Rypdal, S.K. Turitsyn

    Research output: Contribution to journalConference articleResearchpeer-review

    Abstract

    Sharper criteria for three-dimensional wave collapse described by the Nonlinear Schrodinger Equation (NLSE) are derived. The collapse threshold corresponds to the ground state soliton which is known to be unstable. Thus, for nonprefocusing distributions this represents the separatrix between collapsing and noncollapsing sectors. Numerical results support the theoretical results. Generalizations of the criteria for the NLSE with arbitrary power nonlinearity are also presented.
    Original languageEnglish
    JournalPhysica D: Nonlinear Phenomena
    Volume87
    Issue number1-4
    Pages (from-to)273-284
    ISSN0167-2789
    DOIs
    Publication statusPublished - 1995
    EventInternational Workshop on Nonlinear Schroedinger Equation: Achievements, developments, perspectives - Chernogolovka, Russian Federation
    Duration: 25 Jul 19943 Aug 1994

    Workshop

    WorkshopInternational Workshop on Nonlinear Schroedinger Equation
    CountryRussian Federation
    CityChernogolovka
    Period25/07/199403/08/1994

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