How probability for freak wave formation can be found
1 Lebedev Physical Institute RAS, 119991 Moscow, Russia
2 Department of Mathematics, University of Arizona, 857201 Tucson, USA
3 Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Russia
4 Shirshov Institute of Oceanology RAS, 117997 Moscow, Russia
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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.
© EDP Sciences, Springer-Verlag, 2010