2011/04/12 by Elena Kartashova, Kartashova, E.
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes
paper · pdf · doi:10.48550/arxiv.1104.2211
openalex publication_date 2011/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A novel model of wave turbulence is presented which allows to explain in the same frame various nonlinear wave phenomena: intermittency, form and direction of the energy cascades, formation of a zero-frequency band with non-zero energy, etc. as an effect of initial conditions, without any statistical assumptions. Classical Kolmogorov-Zakharov spectra are obtained as a particular case of the more general form of energy spectra. One of the most important phenomenological consequences of the model is the termination of a cascade not due to dissipation but because of the growth of nonlinearity. The model is quite general and can be exploited for the description of an arbitrary wave turbulent system.