Abstract
A set of coupled nonlinear equations, which govern the dynamics of electromagnetic perturbations in the presence of a spatially nonuniform electron current in a magnetized dusty plasma, is derived. The linear stability of such a system is discussed. It is shown that in the presence of the dust an oscillatory, kink-type instability can develop with a threshold for the instability far exceeding the value for an ordinary electron–ion plasma. In the nonlinear regime, the possibility for several types of stationary, coherent solutions is demonstrated. For specific profiles of spatially dependent functions describing the basic state, traveling dipolar and tripolar vortices, and vortex chains are found.
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