The Excitation of Alfven wave in dusty plasma with vortex flows is investigated.Thecoupled equations for density and electromagnetic potential of dusty plasma with vortex-flow wereobtained.The stability and amplitude behavior were studied both analytically and numerically.Using a non-modal method,it was found that the presence of dust can suppress the growth of theinstability which can also be affected by the vortex eccentricity.
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