Self-Similar Vortex Solitons for the Distributed-Coefficient Nonlinear Schr?dinger Equation
ZHAO Bi1, DAI Chao-Qing3, ZHANG Jie-Fang1,2**
1Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004 2Zhejiang University of Media and Communications, Hangzhou 310018 3 School of Sciences, Zhejiang A&F University, Lin'an 311300
Abstract: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.