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

作者：Cao, Ruo Yun; Zhong, Wei Ping^*; Mihalache, Dumitru

来源：Romanian Reports in Physics, 2015, 67(2): 375-385.

• coupled (2 1)-dimensional NLS equations
• angular vector soliton
• symmetric necklace-ring soliton
• asymmetric necklace-ring soliton

We present the angular vector soliton solutions of the coupled (2 1)-dimensional nonlinear Schrodinger (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 fmd 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.

• 出版日期2015
• 单位顺德职业技术学院