Propagation properties of (1+2) dimension spatial optical solitons in nonlocal Kerr medium

Started from the nonlocal nonlinear Schrdinger equation, the split-step method was used to numerically discuss propogation properies of (1+2) dimension spatial optical sotions with definite degrees of nonlocality, and a set of parameters of soliton were obtained. Assuming the response function for nonlocal Kerr medium is a Gaussian function, the numerical solutions of solitons were analyzed and the soliton’s stability was proved numerically with definite degrees of nonlocality. Results show that (1+2) dimension solitons depend strongly on the degrees of nonlocality. The optical beam can propagate stably with definite degrees of nonlocality. The soliton profile is Gaussian-shaped for strongly nonlocal cases, but not Gaussian-shaped for any other cases. When the degrees of nonlocality are