Nonlinearity Domination in Hassellmann Equation as a Reason for Alternative Framework of its Numerical Simulation

Development of accurate and fast advanced statistical and dynamical nonlinear models of ocean surface waves, based on first physical principles, which will improve and accelerate both long term ocean surface wave turbulence forecasts and prediction of strongly coherent events, such as freak waves and wave-breakings. Creation of better statistical models for improvement of existing operational wave prediction programs; study of non-stationary waves growth in presence of wind; interpretation of experimental data through study of self-similar solutions of Hasselmann equation; studying the integrability of 1D dynamical equations for surface waves; study of the possibility of generalization of compact 1D water waves equation for 2D situation; study of the implications of modulational instability on solitons, rogue waves and air-surface interaction.