I. Velchev, A. Dreischuh, D. Neshev, S. Dinev
The interaction between two optical vortex solitons (OVS), formed on different background beams is analyzed numerically. Analogous to the one-dimensional case, vector OVS seem obtainable (see Yu. Kivshar and S. Turitsyn, Opt. Lett. 18 (1993) 586). The relative topological charges of the interacting (off-axis) vortices are found to rule their propagation characteristics. Attraction is found in the case of equal charges, in contrast to the opposite case, where repulsion is present.