PROPAGATION OF MHD WAVES IN THE EQUATORIAL REGION
We consider large-scale nonlinear oscillations of an ideal conductive liquid of variable depth, taking into account magnetic, buoyancy, Coriolis forces and diffusion of the magnetic field. The assigned space problem the assumption of a linear distribution of hydro-magnetic pressure with depth is acceptable. The corresponding boundary problem for the horizontal component of the velocity and magnetic field, and for the function describing the lower surface of the movable layer is nonlinear. Using an analysis of scales of quasi-geostrophic movements, the basic equations are derived. Assuming that the Rossby numbers being a measure of the ratio of local and advective accelerations to the acceleration of Coriolis are of the same order, the problem is reduced to solving a system of three nonlinear equations for the hydro-magnetic pressure and two functions describing the magnetic field. For infinitely extended horizontally rotating electrically conducting fluid in the assumption of almost constant inclination of the surface bounding layer on top, at a distance of the order of wavelength, an exact solution of nonlinear equations and the corresponding dispersion relation have been obtained. The main characteristics of the movement are presented.