Nonlinear oscillations in dusty plasmas with variable charges on dust particles

Recent analysis of the excitation of dust Bernstein–Greene–Kruskal modes [Tribeche et al., Phys. Plasmas 7, 4013 (2000)] is extended to include self-consistently the dust charge variation. The grain charge becomes a new self-consistent dynamical variable, leading to some new and interesting results such as threshold lowering, mode damping, and spatially localized nonlinear structures.