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 Schr?dinger (NLS) equations via a similarity transformation thatis connected with the stationary NLS equation. Then we investigate the transversespatial distributions of the controllable vector soliton clusters. We obtain exact angularvector soliton solutions that are constructed with the help of Whittaker special functions. Wefind that these solitons can be effectively controlled by the modulation depth, thetopological charge, and the radial quantum number. Our results show that, for integer orfractional topological charge, the intensity profiles of these vector solitons exhibitvarious forms, such as the vortex-ring shapes and either symmetric or asymmetricnecklace-ring patterns.