期刊
NONLINEAR DYNAMICS
卷 70, 期 3, 页码 2027-2034出版社
SPRINGER
DOI: 10.1007/s11071-012-0594-9
关键词
Accessible solitons; Parity-time symmetric potentials; Strongly nonlocal nonlinear media
资金
- National Natural Science Foundation of China [61275001]
- Natural Science Foundation of Guangdong Province, China [1015283001000000]
- Qatar National Research Fund [NPRP 09-462-1-074]
Two-dimensional parity-time (PT) symmetric potentials are introduced, which allow the existence of spatial solitons in the model of the strongly nonlocal nonlinear Schrodinger 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-Gaussian 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.
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