Interactions of spatiotemporal solitons and vortices in fiber bundles

We report results of a systematic numerical analysis of collisions between localized three-dimensional (3D) semidiscrete complexes, viz., rhombus-shaped vortices, quadrupoles, and fundamental solitons, in the model of a bundle of fiberlike waveguides. The model also describes a 3D self-attractive Bose-Einstein condensate (BEC) loaded into a deep two-dimensional optical lattice. We identify four outcomes of the collisions: rebound of slow solitons, fusion, splitting, and, finally, quasielastic interactions of fast solitons. Diagrams which demonstrate regions of the different outcomes are reported for collisions between vortices, with equal or opposite topological charges, and quadrupoles.