title: Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry.
abstract: We analyze the salient features of vortex-ring solitons supported by cylindrically symmetric media with nonlocal thermal nonlinearity. We discover the existence of a maximum allowed topological charge for such vortex solitons to be stable on propagation: Only vortex-ring solitons with topological charge m </= 2 are found to be stable. This remarkable result holds independently of the radius of the sample.
authors: Yaroslav V
authors: YV
authors: Kartashov
authors: Victor A
authors: VA
authors: Vysloukh
authors: Lluis
authors: L
authors: Torner