Turbulent 4-wave interaction of two type of waves

We consider turbulent 4-wave interaction of two types of waves: acoustic wa ves (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 foll owing a standard Zakharov approach. In the small wave number region (k,p << m) we derive nonlinear differential Kompaneets-type kinetic equation for a rbitrary distributions of the interacting fields and find when this equatio n has Kolmogorov-type power law solutions. (C) 2000 Published by Elsevier S cience B.V. All rights reserved.