The problem of spectral description of the nonlinear capillary waves on the fluid surface is discussed.Usually, three-wave nonlinear interactions are considered as a major factor determined by the energy spectrum of these waves in the kinetic wave turbulent regime.We demonstrate that four-wave interactions should be taken into account.In this case, Mirror there are two possible scenarios for the transfer of energy over the wave spectrum: kinetic and dynamic.
The first is described by the averaged stochastic interaction of waves using the kinetic equation, while the second is described 9-06 N by dynamic equations written for discrete modes.In this article, we compare the time scales, spectral shapes, and other properties of both energy cascades, allowing them to be identified in an experiment.