Coherent and incoherent interactions between discrete-soliton trains in two-dimensional light-induced photonic lattices

The coherent and incoherent interactions between discrete-soliton trains are numerically investigated in light-induced two-dimensional photonic lattices. The solutions of discrete-soliton trains for diamond and square lattices are obtained by Petviashvili iteration method. It is found that for both the kinds of lattices, two in-phase (out-of-phase) discrete-soliton trains attract (repel) each other, and the intermediates are always accompanied with energy transfer. While the interaction forces between two incoherent discrete-soliton trains are always attractive.