  We show that ring-like localized gain landscapes imprinted in focusing cubic
(Kerr) nonlinear media with strong two-photon absorption support new types of
stable higher-order vortex solitons containing multiple phase singularities
nested inside a single core. The phase singularities are found to rotate around
the center of the gain landscape, with the rotation period being determined by
the strength of the gain and the nonlinear absorption.
