Mutual interactions of multiple partially incoherent spatial solitons

We investigate numerically the interactions of multiple partially incoherent spatial solitons in a nonlinear medium with logarithmic saturable nonlinearity based on the coherent density approach. Numerical results show that the interactions of incoherent solitons is somewhat similar to that of coherent solitons when the incoherence parameter is small; while for large incoherence parameter, the interactions of incoherent solitons are always attractive because the strong incoherent interactions blur out the initial relative phase between the incoherent solitons. Especially for the π-out-of-phase incoherent solitons, they can propagate in parallel under appropriate incoherence parameter. Mutual interactions of multiple partially incoherent spatial solitons can lead to a variety of induced waveguide configurations that allows steering, switching and guiding light with light.