A. I. Dyachenko, V. E. Zakharov, “Modulation instability of stokes wave <nobr>$\rightarrow$</nobr> freak wave”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2005, Volume 81, Issue 6,Pages <nobr>318

This article is cited in 149 papers

PLASMA, GASES

Modulation instability of stokes wave $\rightarrow$ freak wave

A. I. Dyachenko^a, V. E. Zakharov^ba

^a L. D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia
^b Department of Mathematics, University of Arizona, Tucson, AZ, 857201, USA

Abstract: Formation of wave of large amplitude (freak wave, killer wave) at the surface of ocean is studied numerically. We have observed that freak wave has the same ratio of the wave height to the wave length as for the limiting Stokes wave. When freak wave reaches this limiting state, it breaks. Physical mechanism of freak wave formation is discussed.

PACS: 02.60.Cb, 47.15.Hg, 92.10.-c

Received: 24.02.2005

Language: English