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