Effects of electron depletion on nonlinear dusty plasma oscillations

A kinetic analysis of the excitation of dust BGK (Bernstein–Greene–Kruskal) modes in a noncollisional dusty plasma is presented. It is found that in the case where all the electrons are attached to the dust particles, consequent modifications in the electrostatic potential structure can significantly influence the existence and properties of the nonlinear BGK modes. The derivation goes parallel to that done in standard kinetic analysis.