Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrödinger Lattice
This is the pre-published version harvested from arXiv. The published version is located at http://link.aps.org/doi/10.1103/PhysRevLett.93.080403
In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schrödinger equation, we find discrete vortex solitons with various values of the topological charge S. Stability regions for the vortices with S=0,1,3 are investigated. The S=2 vortex is unstable and may spontaneously rearranging into a stable one with S=3. In a two-component extension of the model, we find a novel class of stable structures, consisting of vortices in the different components, perpendicularly oriented to each other. Self-localized states of the proposed types can be observed experimentally in Bose-Einstein condensates trapped in optical lattices and in photonic crystals built of microresonators.
Panos Kevrekidis, BA Malomed, DJ Frantzeskaki, and R Carretero-González. "Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrödinger Lattice" Physical Review Letters 93.8 (2004).
Available at: http://works.bepress.com/panos_kevrekidis/49