Hard soliton excitation regime: Stability investigation

E. A. Kuznetsov

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)

    Abstract

    The problem of the stability of one-dimensional solitons in the hard regime of soliton excitation, where the matrix element of the four-wave interaction has an additional smallness, is studied. It is that shown for optical solitons striction can weaken the Kerr nonlinearity. It is shown that solitons with a finite amplitude discontinuity at the critical soliton velocity, equal to the minimum phase velocity of linear waves, are unstable while solitons with a soft transition remain stable with respect to one-dimensional perurbations. Two- and three-dimensional solitons near threshold are unstable with respect to modulation perturbations.

    Original languageEnglish
    Pages (from-to)163-172
    Number of pages10
    JournalJournal of Experimental and Theoretical Physics
    Volume89
    Issue number1
    DOIs
    Publication statusPublished - Jul 1999

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