On the Formation of Freak Waves on the Surface of Deep Water
A. I. Dyachenko, V. E. Zakharov*
L.D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia
*Department of Mathematics, University of Arizona, Tucson, AZ, 857201, USA
PACS: 02.60.Cb, 47.15.Hg, 92.10.-c
Abstract
Numerical simulation of the fully nonlinear water equations
demonstrates existence of giant breathers on surface of deep water. Numerics
show that this breather (or soliton of envelope) does not loose energy.
Existence of such breather can explain appearance of freak waves.