Classical and Non-Classical Regimes of the Limited-Fetch Wave Growth and Localized Structures on the Surface of Water

The long-term goal is the 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 waves forecasts and prediction of strongly coherent events, such as freak waves, tsunami and wave-breakings. The objectives are: a study of non-stationary limited fetch waves growth in presence of wind; interpretation of altimeter data through study of self-similar solutions of Hasselmann equation; studying of integrability of 1D Zakharov equation 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; study of 1D approximate model of deep water surface waves