The linear and nonlinear properties of low-frequency (in comparison with the ion gyrofrequency) electrostatic and electromagnetic waves in nonuniform, magnetized dusty plasmas with sheared plasma flows are examined. For this purpose, the multifluid dusty plasma model is employed to derive the relevant nonlinear equations for the modified dust-convective cells as well as for the coupled dust Alfven waves and dust-convective cells. In the linear limit, we obtain dispersion relations which exhibit instabilities of both the electrostatic and electromagnetic waves. In the nonlinear case, it is shown that the newly derived dynamical equations for weakly coupled waves admit various types of vortex solutions. The results can have relevance to the understanding of the salient features of nonthermal fluctuations and coherent vortex structures in nonuniform dusty magnetoplasmas such as those in the Earth's ionosphere as well as in cometary tails and interstellar clouds.57110471052