DECAY AND MODULATIONAL INSTABILITIES OF ELECTRON-PLASMA WAVES IN UNMAGNETIZED DUSTY PLASMAS

Nonlinear interaction between a large-amplitude electron plasma wave a nd few-frequency perturbations in dusty plasmas is considered. A nonli near dispersion relation appropriate for three-wave decay interaction as well as modulational and filamentation instabilities is obtained. A nalytical expressions for the growth rates and thresholds are presente d, Also derived an the dynamical equations describing the long-term be haviour of modulationally unstable electron plasma waves in plasmas wi th fixed charged dust particulates.