Multimode Incoherent Spatial Solitons in Logarithmically Saturable Nonlinear Media

We show that multimode incoherent spatial solitons are possible in logarithmically saturable nonlinear media. The mode-occupancy function associated with these soliton states is found to obey a Poisson distribution. Our analysis indicates that two approaches, i.e., the dynamic coherent density description as well as static self-consistent multimode method lead to exactly the same results. Closed form solutions are obtained for $(1+1)\mathrm{D}$ as well as for $(2+1)\mathrm{D}$ circular and elliptical incoherent solitons.