@article{11c4b020be1043c6867aa56bc6bd57cb,
title = "Probability of the occurrence of freak waves",
abstract = "The statistics of the occurrence of freak waves on a surface of an ideal heavy liquid is studied. The freak (rogue, extreme) waves arise in the course of evolution of a statistically homogeneous random Gaussian wave field. The mean steepness of initial data varies from small (μ2 = 1.54 × 10-3) to moderate (μ2 = 3.08 × 10-3) values. The frequency of the occurrence of extreme waves decreases with an increase in the spectral width of the initial distribution, but remains relatively high even for broad spectra (Δk/Δ ~ 1).",
author = "Zakharov, {V. E.} and Shamin, {R. V.}",
note = "Funding Information: We are grateful to the Department of Differential Equations and Mathematical Physics, Peoples Friendship University (Moscow) and its head A.L. Skubachevskii, as well as to O.V. Savenkova and D.A. Neverova, for the given computing capacities. This work was supported by the Council of the Presi dent of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (project no. NSh 7550.2006.2), the Russian Foundation for Basic Research (project no. 09 05 13605 ofi_ts), and the Presidium of the Russian Academy of Sciences (program “Mathematical Methods in Nonlinear Dynamics”).",
year = "2010",
doi = "10.1134/S0021364010020025",
language = "English (US)",
volume = "91",
pages = "62--65",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "Pleiades Publishing",
number = "2",
}