Turbulent 4-wave interaction of two type of waves

We consider turbulent 4-wave interaction of two types of waves: acoustic waves (dispersion omega=k) and electromagnetic-type waves (dispersion Omega(2)= m(2) + p(2)). For large wave vectors (k >> m), when the dispersion of EM-type waves becomes quasiacoustic, the stationary spectra are obtained following a standard Zakharov approach. In the small wave number region (k,p << m) we derive nonlinear differential Kompaneets-type kinetic equation for arbitrary distributions of the interacting fields and find when this equation has Kolmogorov-type power law solutions. (C) 2000 Published by Elsevier Science B.V. All rights reserved.