Stable vortex and dipole vector solitons in a saturable nonlinear medium

The existence, uniqueness and stability of vortex and dipole vector soliton in a saturable nonlinear medium in (2+1) dimensions were discussed. It was found that both vortex and dipole vector solitons were linearly stable in the neighbourhood of the bifurcation point. The analysis showed that an unstable vortex soliton breaks up either into a rotating dipole soliton or into two rotating fundamental solitons.