Interaction between two partially incoherent soliton stripes

A detailed analysis is made of the mutual interaction of two, initially well separated, partially incoherent solitons in a nonlinear Kerr medium. Explicit expressions are obtained describing the influence of partial incoherence on the subsequent dynamics of the solitons. In particular it is shown that as the degree of incoherence increases, the character of the interaction may change between attractive and repulsive behavior (or vice versa). Furthermore, it is found that this dependence is not always monotonous.