Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials
Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials
复制标题
具有广义奇偶时间对称 Scarff-II 势的自聚焦和散焦 Kerr 非线性介质中的空间孤子和稳定性
DOI：
10.1103/physreve.92.022913
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发表时间：
2015
影响因子：
2.4
通讯作者：
Hang Chao
中科院分区：
文献类型：
--
作者：
Yan Zhenya;Wen Zichao;Hang Chao
给出了具有广义宇称时间对称Scarff-II势的自聚焦散焦非线性薛定谔(NLS)方程所支配的亮孤子的统一理论研究。特别地，分别考虑了对称波数Scarff-II势和多势垒Scarff-II势。对于波数Scarff-II势，参数空间可以划分为不同的区域，对应于未破缺和破缺对称性，以及对应于自聚焦和散焦Kerr非线性的亮孤子。对于多势垒Scarff-II势，利用周期空间调制的克尔非线性可以得到明亮的孤子。通过数值模拟，详细分析了具有对称波数和多势垒Scarff-II势的亮孤子的线性稳定性。由于非线性的存在，在未破缺和破缺对称区都发现了稳定和不稳定的亮孤子。此外，还研究了具有广义对称Scarff-II势的三维自聚焦和散焦NLS方程中的亮孤子。这在基于非线性耗散对称系统中光孤子的光信息传输和处理领域具有潜在的应用价值。
We present a unified theoretical study of the bright solitons governed by self-focusing and defocusing nonlinear Schrödinger (NLS) equations with generalized parity-time- () symmetric Scarff-II potentials. Particularly, a-symmetric-wave-number Scarff-II potential and a multiwell Scarff-II potential are considered, respectively. For the-wave-number Scarff-II potential, the parameter space can be divided into different regions, corresponding to unbroken and brokensymmetry and the bright solitons for self-focusing and defocusing Kerr nonlinearities. For the multiwell Scarff-II potential the bright solitons can be obtained by using a periodically space-modulated Kerr nonlinearity. The linear stability of bright solitons with-symmetric-wave-number and multiwell Scarff-II potentials is analyzed in detail using numerical simulations. Stable and unstable bright solitons are found in both regions of unbroken and brokensymmetry due to the existence of the nonlinearity. Furthermore, the bright solitons in three-dimensional self-focusing and defocusing NLS equations with a generalized-symmetric Scarff-II potential are explored. This may have potential applications in the field of optical information transmission and processing based on optical solitons in nonlinear dissipative but-symmetric systems.