Mihalache D, Mazilu D, Crasovan L-C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P, Lederer F
Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.
Phys Rev Lett. 2002 Feb 18;88(7):073902. doi: 10.1103/PhysRevLett.88.073902. Epub 2002 Feb 4.
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.
我们介绍了具有聚焦三次和散焦五次非线性的三维非线性薛定谔方程的时空旋转孤子（涡旋环面）。展示了首次发现的完全稳定的时空涡旋孤子。一个普遍的结论是，由于聚焦和散焦非线性之间的竞争，稳定的旋转孤子是可能存在的。
