Transverse stability of Kawahara solitons

V.I. Karpman

    Research output: Contribution to journalJournal articleResearch

    Abstract

    The transverse stability of the planar solitons described by the fifth-order Korteweg-de Vries equation (Kawahara solitons) is studied. It is shown that the planar solitons are unstable with respect to bending if the coefficient at the fifth-derivative term is positive and stable if it is negative. This is in agreement with the dynamics of the two-dimensional Kawahara solitons.
    Original languageEnglish
    JournalPhysical Review E
    Volume47
    Issue number1
    Pages (from-to)674-676
    ISSN1063-651X
    DOIs
    Publication statusPublished - 1993

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