Abstract
We find a Kolmogorov-type spectrum for the 2D turbulence of waves with the “sound-like” dispersion law Ω k=u|k| . The spectrum is proportional to P 3 5 , where P is the flux of energy through the scales. This provides an example of turbulence which is weaker than strong hydrodynamic turbulence, but stronger than the weak turbulence of dispersive waves. To analyze the localness of the turbulence we use the simplest closure (the so-called one-loop approximation). We apply the results to the turbulence of shallow water gravity waves, two-dimensional acoustic turbulence.
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