Soliton interaction as a possible model for extreme waves in shallow water

P. Peterson, T. Soomere, J. Engelbrecht, E. van Groesen

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    Abstract

    Interaction of two long-crested shallow water waves is analysed in the framework of the two-soliton solution of the Kadomtsev-Petviashvili equation. The wave system is decomposed into the incoming waves and the interaction soliton that represents the particularly high wave hump in the crossing area of the waves. Shown is that extreme surface elevations up to four times exceeding the amplitude of the incoming waves typically cover a very small area but in the near-resonance case they may have considerable extension. An application of the proposed mechanism to fast ferries wash is discussed.
    Original languageEnglish
    Pages (from-to)503-510
    JournalNonlinear processes in geophysics
    Volume10
    Issue number6
    DOIs
    Publication statusPublished - 2003

    Keywords

    • METIS-213708
    • IR-45950

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