We introduce spatiotemporal spinning solitons (vortex tori) of the three-dimensional nonlinear Schrödinger equation with focusing cubic and defocusing quintic nonlinearities. The first ever found completely stable spatiotemporal vortex solitons are demonstrated. A general conclusion is that stable spinning solitons are possible as a result of competition between focusing and defocusing nonlinearities.
Mihalache, D., Mazilu, D., Crasovan, L., Towers, I., Buryak, A., Malomed, B., Torner, L., Juan P. Torres, Lederer, F. Stable spinning optical solitons in three dimensions. "Physical review letters", Febrer 2002, vol. 88, núm. 7, p. 73902.