Abstract
A generalized hydrodynamical model has been used to study the low frequency modes in a strongly coupled, cold, magnetized dusty plasma. Such plasmas exhibit elastic properties due to the strong correlations among dust particles and the tensile stresses imparted by the magnetic field. It has been shown that longitudinal compressional Alfvén modes and elasticity modified transverse shear mode exist in such a medium. The features of these collective modes are established and discussed.
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