We demonstrate the existence of stable three-dimensional spatiotemporal solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental (nonspinning) STSs forming one-parameter families are stable if their propagation constant exceeds a certain critical value that is inversely proportional to the range of nonlocality of nonlinear response. All spinning three-dimensional STSs are found to be unstable.
Mihalache, D., Mazilu, D., Lederer, F., Malomed, B., Kartashov, Y.V., Crasovan, L., Torner, L. Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media. "Physical review E: statistical, nonlinear, and soft matter physics", Gener 2006, vol. 73, p. 25601-25604.