A set of five coupled held 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 Ampere's law for par
tially ionized dusty gases. The presented set of nonlinear magnetohydr
odynamic (MHD) equations should be useful for a self-consistent descri
ption of linear and nonlinear wave and instability phenomena in dusty
magnetoplasmas whose constituents are negatively charged dust grains,s
ingle charged positive ions, as well as neutral atoms.