  We consider two-dimensional spin-orbit coupled atomic Bose-Einstein
condensate in a radially-periodic potential. The system supports different
types of stable self-sustained states including radially-symmetric
vorticity-carrying modes with different topological charges in two spinor
components that may have multiring profiles and at the same time remain
remarkably stable for repulsive interactions. Solitons of the second type show
persistent rotation with constant angular frequency. They can be stable for
both repulsive and attractive interatomic interactions. Due to inequivalence
between clockwise and counterclockwise rotation directions introduced by
spin-orbit coupling, the properties of such solitons strongly differ for
positive and negative rotation frequencies. Collision of solitons located in
the same or different rings is accompanied by change of the rotation frequency
that depends on the phase difference between colliding solitons.
