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.