Two-dimensional accessible solitons in PT-symmetric potentials
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- 作者：Wei-Ping Zhong (1) zhongwp6@126.com
Milivoj R. Beli? (23)
Tingwen Huang (2) - 关键词：Accessible solitons – Parity ; time symmetric potentials – Strongly nonlocal nonlinear media
- 刊名：Nonlinear Dynamics
- 出版年：2012
- 出版时间：November 2012
- 年：2012
- 卷：70
- 期：3
- 页码：2027-2034
- 全文大小：1.4 MB
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- ISSN：1573-269X
文摘
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–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.