Self-Similar Vortex Solitons for the Distributed-Coefficient Nonlinear Schr?dinger Equation

Via the similarity transformation method, we obtain an approximate vortex solution to the generalized (2+1)-dimensional nonlinear Schr?dinger equation with space-dependent diffraction, nonlinearity and gain/loss coefficients. Under certain parametric conditions, we investigate the propagation dynamics of self-similar vortex solitons in optical media.