Two-dimensional accessible solitons in PT-symmetric potentials |
| |
Authors: | Wei-Ping Zhong Milivoj R Beli? Tingwen Huang |
| |
Institution: | 1. Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde, 528300, China 2. Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar 3. Institute of Physics, University of Belgrade, P.O. Box 68, 11001, Belgrade, Serbia
|
| |
Abstract: | Two-dimensional parity-time (PT) symmetric potentials are introduced, which allow the existence of spatial solitons in the model of the strongly nonlocal nonlinear Schr?dinger equation. Two-dimensional accessible solitons are found in the form of solutions separating the radial amplitude, given in terms of Laguerre polynomials, a?phase function involving quadratic, linear, and constant phase shifts, and a specific azimuthal modulation function. Shape-preserving solitons are constructed from Laguerre?CGaussian functions containing the self-similar variable and an exponential form of the azimuthal modulation, containing sine and cosine functions, when a suitable PT-symmetric potential is chosen. Interesting soliton profiles and the corresponding PT-symmetric potentials are displayed for different values of the parameters. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|