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How probability for freak wave formation can be found

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Abstract.

The statistics of arising of freak waves on a surface of an ideal heavy fluid is studied. The freak waves arise during the evolution of statistically homogeneous initial conditions with a Gaussian probability. Simple equation describing evolution of “almost” 1-D water waves is derived using important property of vanishing four-wave interaction.

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Authors and Affiliations

  1. Lebedev Physical Institute RAS, 119991, Moscow, Russia

    V.E. Zakharov

  2. Department of Mathematics, University of Arizona, 857201, Tucson, USA

    V.E. Zakharov

  3. Landau Institute for Theoretical Physics RAS, 142432, Chernogolovka, Russia

    A.I. Dyachenko

  4. Shirshov Institute of Oceanology RAS, 117997, Moscow, Russia

    R.V. Shamin

Authors
  1. V.E. Zakharov
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  2. A.I. Dyachenko
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  3. R.V. Shamin
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Correspondence to V.E. Zakharov.

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Zakharov, V., Dyachenko, A. & Shamin, R. How probability for freak wave formation can be found. Eur. Phys. J. Spec. Top. 185, 113–124 (2010). https://doi.org/10.1140/epjst/e2010-01242-y

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  • DOI: https://doi.org/10.1140/epjst/e2010-01242-y

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