中文摘要：

基于相干密度理论，数值地研究了在饱和对数非线性介质中多个部分非相干光空间孤子之间的相互作用．数值结果表明，在非相干参量较小情况下，非相干光孤子的相互作用与相干光孤子的相互作用规律较类似．当非相干参量较大时，强的非相干性模糊了孤子之间的相位关系，孤子间的相互作用主要以非相干相互吸引作用为主．特别是在非相干参量较大而且孤子初始相对相位差为π的情况下，多个部分非相干光孤子可并行传播形成稳定的阵列孤子．利用多个非相干光孤子的不同相互作用形态写入各种阵列波导，为实现光控制光、导向光提供了一种可能性．

英文摘要：

We investigate numerically the interactions of multiple partially incoherent ＂spatial solitons in a nonlinear medium with logarithrnic saturable nonlinearity based on the coherent density approach. Numerical resnlts show that the interactions of incoherent solitons is somewhat sirnilar 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 solltons. 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.