Numerical Experiments and Freak Waves ‎

Zakharov V.E., Dyachenko A.I.

In the article the problem of appearence of freak wave at the surface of deep water is considered. Two ‎analytical model are proposed for two-dimensional ideal fluid. The first model is based on the conformal ‎mapping in the ecact Euler equations of the domain occupied by the fluid to the low half-plane. In the second ‎model canonical transformation is applied for approximate Hamiltonian. Simple nonlinear equation for ‎normal canonical variable is derived as the result. Numerical experiments are performed to simulate freak ‎waves formations for both models.‎

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