Numerical research of interactions between Gaussian-shaped spatial solitons

The interactions between Gaussian-shaped solitons in the logarithmic saturable nonlinear media were numerically investigated. The results show that the interactions between Gaussian-shaped solitons are sensitive to relative amplitude and relative phase. In different regions of relative amplitude, the main effect is repulsion or attraction alternately, and due to the instability of Gaussian solitons, the beams breathe periodically after interactions. Along with the rising of the relative phase, there are stronger repulsions between the beams, until at the end of each cycle. The beams breathe also in this situation, and the larger angle they separate, the more strongly they breathe.