Abstract
A set of five coupled field equations governing the nonlinear dynamics of low-frequency (in comparison with the ion gyrofrequency) phenomena in partially ionized collisional dusty magnetoplasmas has been derived. These are the continuity and the momentum transfer equations for the neutral and dust fluids as well as an appropriate Ampère's law for partially ionized dusty gases. The presented set of nonlinear magnetohydrodynamic (MHD) equations should be useful for a self-consistent description of linear and nonlinear wave and instability phenomena in dusty magnetoplasmas whose constituents are negatively charged dust grains, single charged positive ions, as well as neutral atoms.
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