An analytical MHD wind model with latitudinal dependences obtained using separation of the variables

A new class of analytical 2-D solutions of the full set of the steady magne tohydrodynamic (MHD) equations, describing an axisymmetric helicoidal magne tized out ow originating from a rotating central object, is presented. The solutions are systematically obtained via a nonlinear separation of the var iables in the momentum equation. The analysis yields three parameters which measure the anisotropy in the latitudinal distribution of various ow quant ities. Topologically, the wind speed is controlled by an X-type critical po int that acts to filter out a single wind-type branch and the Alfven singul arity. The solutions can be regarded as an extension outside the equatorial plane of the Weber & Davis (1967) model of magnetized winds but with a var iable polytropic index.