Abstract
Nonlinear interaction between a large-amplitude electron plasma wave and low-frequency perturbations in dusty plasmas is considered. A nonlinear dispersion relation appropriate for three-wave decay interaction as well as modulational and filamentation instabilities is obtained. Analytical expressions for the growth rates and thresholds are presented. Also derived are the dynamical equations describing the long-term behaviour of modulationally unstable electron plasma waves in plasmas with fixed charged dust particulates.
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