[en] It is shown that, when studying nonlinear wave processes in a rotating weakly ionized plasma of the Earth's ionosphere, the motion of the neutral component of a medium should be analyzed with allowance for the effects caused by both charged particles in the ionosphere and the geomagnetic field. The joint action of the spatially inhomogeneous Coriolis and electrodynamic forces can give rise to a new kind of waves in the E-layer, which may be called 'magnetized Rossby waves'. The modified nonlinear Charney equation is derived with allowance for the force caused by the influence of the geomagnetic field. The possibility of the formation of nonlinear solitary vortex structures of magnetized Rossby waves is analyzed