ANGULAR VECTOR SOLITONS OF THE COUPLED NONLINEAR SCHROEDINGER EQUATIONS WITH SPATIALLY MODULATED NONLINEARITIES

摘要

We present the angular vector soliton solutions of the coupled (2+1)-dimensional nonlinear Schroedinger (NLS) equations via a similarity transformation that is connected with the stationary NLS equation. Then we investigate the transverse spatial distributions of the controllable vector soliton clusters. We obtain exact angular vector soliton solutions that are constructed with the help of Whittaker special functions. We find that these solitons can be effectively controlled by the modulation depth, the topological charge, and the radial quantum number. Our results show that, for integer or fractional topological charge, the intensity profiles of these vector solitons exhibit various forms, such as the vortex-ring shapes and either symmetric or asymmetric necklace-ring patterns.