The European Physical Journal Special Topics

, Volume 185, Issue 1, pp 113–124

How probability for freak wave formation can be found

Article

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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Copyright information

© EDP Sciences and Springer 2010

Authors and Affiliations

  1. 1.Lebedev Physical Institute RASMoscowRussia
  2. 2.Department of MathematicsUniversity of ArizonaTucsonUSA
  3. 3.Landau Institute for Theoretical Physics RASChernogolovkaRussia
  4. 4.Shirshov Institute of Oceanology RASMoscowRussia

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