title: Stable spinning optical solitons in three dimensions.
abstract: 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.
authors.affiliation: Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.
authors.forename: D
authors.initials: D
authors.lastname: Mihalache
authors.forename: D
authors.initials: D
authors.lastname: Mazilu
authors.forename: L-C
authors.initials: LC
authors.lastname: Crasovan
authors.forename: I
authors.initials: I
authors.lastname: Towers
authors.forename: A V
authors.initials: AV
authors.lastname: Buryak
authors.forename: B A
authors.initials: BA
authors.lastname: Malomed
authors.forename: L
authors.initials: L
authors.lastname: Torner
authors.forename: J P
authors.initials: JP
authors.lastname: Torres
authors.forename: F
authors.initials: F
authors.lastname: Lederer