Defocusing regimes of nonlinear waves in media with negative dispersion

L. Bergé, E.A. Kuznetsov, J. Juul Rasmussen

    Research output: Contribution to journalJournal article


    Defocusing regimes of quasimonochromatic waves governed by a nonlinear Schrodinger equation with mixed-sign dispersion are investigated. For a power-law nonlinearity, we show that localized solutions to this equation defined at the so-called critical dimension cannot collapse in finite time in the sense that their transverse (anomalously dispersing) and longitudinal (normally dispersing) extensions never vanish. Solutions defined at the supercritical dimension are proved to exhibit a nonvanishing mean longitudinal size, and cannot transversally collapse if they are assumed to shrink along each spatial direction.
    Original languageEnglish
    JournalPhysical Review E
    Issue number2
    Pages (from-to)R1340-R1343
    Publication statusPublished - 1996


    Dive into the research topics of 'Defocusing regimes of nonlinear waves in media with negative dispersion'. Together they form a unique fingerprint.

    Cite this