Drift-Alfvén waves at the arbitrary ion Larmor radius scale in dusty plasmas

A set of magneto-hydrodynamic (MHD) equations that govern the nonlinear dynamics of drift-Alfvén waves with arbitrary spatial scales in comparison with the ion Larmor radius is derived. It is shown that in the linear limit a Fourier transform of these equations yields the dispersion relation which in the so-called Padé approximation corresponds to the fully kinetic theory.