The equilibrium range cascades of wind-generated waves (original) (raw)

This article investigates the statistical description of potential surface waves on the surface of an ideal fluid under conditions of finite depth, particularly in shallow water. It emphasizes the application of the wave kinetic equation in modelling wave dynamics, derived from principles similar to those observed in particles governed by Bose-Einstein statistics. The paper develops a simplified approach using linear ray theory and nonlinear Schrödinger equations to describe surface waves generated by wind, highlighting methods for solving complex three-dimensional wave interactions and detailing specific scenarios of wave refraction.