Nonlinear kink modes in the presence of charged dust grains

A set of coupled nonlinear equations, which govern the dynamics of electrom agnetic perturbations in the presence of a spatially nonuniform electron cu rrent in a magnetized dusty plasma, is derived. The linear stability of suc h a system is discussed. It is shown that in the presence of the dust an os cillatory, kink-type instability can develop with a threshold for the insta bility 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 fu nctions describing the basic state, traveling dipolar and tripolar vortices , and vortex chains are found. (C) 2000 American Institute of Physics. [S10 70-664X(00)01609-8].