Efremidis Nikolaos K, Hizanidis Kyriakos, Malomed Boris A, Di Trapani Paolo
Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete, Greece.
Phys Rev Lett. 2007 Mar 16;98(11):113901. doi: 10.1103/PhysRevLett.98.113901. Epub 2007 Mar 14.
We demonstrate that families of vortex solitons are possible in a bidispersive three-dimensional nonlinear Schrödinger equation. These solutions can be considered as extensions of two-dimensional dark vortex solitons which, along the third dimension, remain localized due to the interplay between dispersion and nonlinearity. Such vortex solitons can be observed in optical media with normal dispersion, normal diffraction, and defocusing nonlinearity.
我们证明，在双色散三维非线性薛定谔方程中可能存在涡旋孤子族。这些解可以被视为二维暗涡旋孤子的扩展，在第三维中，由于色散和非线性之间的相互作用，它们保持局域化。这种涡旋孤子可以在具有正常色散、正常衍射和散焦非线性的光学介质中观测到。
