Collapse of solitary waves near the transition from supercritical to subcritical bifurcations

D. S. Agafontsev, F. Dias, E. A. Kuznetsov

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    The nonlinear stage of the instability of one-dimensional solitons within a small vicinity of the transition point from supercritical to subcritical bifurcations has been studied both analytically and numerically using the generalized nonlinear Schrödinger equation. It is shown that the pulse amplitude and its width near the collapsing time demonstrate a self-similar behavior with a small asymmetry at the pulse tails due to self-steepening. This theory is applied to solitary interfacial deep-water waves, envelope water waves with a finite depth, and short optical pulses in fibers.

    Original languageEnglish
    Pages (from-to)667-671
    Number of pages5
    JournalJETP Letters
    Volume87
    Issue number12
    DOIs
    Publication statusPublished - Aug 2008

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