Fundamental solitons in the nonlinear fractional Schrodinger equation with a PT - symmetric potential

被引:44
|
作者
Huang, Changming [1 ]
Deng, Hanying [2 ]
Zhang, Weifeng [3 ]
Ye, Fangwei [3 ,4 ]
Dong, Liangwei [5 ]
机构
[1] Changzhi Univ, Dept Elect Informat & Phys, Changzhi 046011, Shanxi, Peoples R China
[2] South China Normal Univ, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China
[3] Shanghai Jiao Tong Univ, Sch Phys & Astron, State Key Lab Adv Opt Commun Syst & Networks, Shanghai 200240, Peoples R China
[4] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Peoples R China
[5] Shaanxi Univ Sci & Technol, Dept Phys, Xian 710021, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
QUANTUM-MECHANICS; OPTICS; BEAMS; DYNAMICS;
D O I
10.1209/0295-5075/122/24002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We address the existence and stability of fundamental solitons in a PT - symmetric Gaussian potential embedded into a material with fractional effects. Fundamental solitary waves with low power both in defocusing and focusing medium originate from the same eigenmode, and the smaller the Levy index, the narrower the width of solitons. The linear stability analysis of fundamental solitons has been carried out in fractional dimension. PT - symmetric solitons are completely stable for a moderate Levy index and gain/loss coefficient in a wide existence region. Copyright (C) EPLA, 2018.
引用
收藏
页数:5
相关论文
共 50 条
  • [21] The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations
    Yan, Zhenya
    Chen, Yong
    CHAOS, 2017, 27 (07)
  • [22] Scattering of solitons and dark solitons by potential walls in the nonlinear Schrodinger equation
    Sakaguchi, H
    Tamura, M
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (01) : 292 - 298
  • [23] Fractional optical solitons of the space-time fractional nonlinear Schrodinger equation
    Wu, Gang-Zhou
    Yu, Li-Jun
    Wang, Yue-Yue
    OPTIK, 2020, 207
  • [24] Stability analysis of multiple solutions of nonlinear Schrodinger equation with PT-symmetric potential
    Ghosh, Niladri
    Das, Amiya
    Nath, Debraj
    NONLINEAR DYNAMICS, 2023, 111 (02) : 1589 - 1605
  • [25] Complex PT-symmetric nonlinear Schrodinger equation and Burgers equation
    Yan, Zhenya
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 371 (1989):
  • [26] Self-splitting of spatial solitons in a nonlinear fractional Schrodinger equation with a longitudinal potential barrier
    Meng, Yunji
    Ning, RenXia
    Ma, Kun
    Jiao, Zheng
    Liu, Youwen
    OPTICS COMMUNICATIONS, 2019, 440 : 68 - 74
  • [27] Defect solitons supported by nonlinear fractional Schrodinger equation with a defective lattice
    Meng, Yunji
    Ning, Renxia
    Ma, Kun
    Jiao, Zheng
    Lv, Haijiang
    Liu, Youwen
    JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2019, 28 (02)
  • [28] Transparent boundary conditions for the nonlocal nonlinear Schrodinger equation: A model for reflectionless propagation of PT-symmetric solitons
    Akramov, M. E.
    Yusupov, J. R.
    Ehrhardt, M.
    Susanto, H.
    Matrasulov, D. U.
    PHYSICS LETTERS A, 2023, 459
  • [29] Solitons of (1+1)D cubic-quintic nonlinear Schrodinger equation with PT - symmetric potentials
    Goksel, Izzet
    Antar, Nalan
    Bakirtas, Ilkay
    OPTICS COMMUNICATIONS, 2015, 354 : 277 - 285
  • [30] INFINITELY MANY POSITIVE SOLUTIONS OF FRACTIONAL NONLINEAR SCHRODINGER EQUATION WITH NON-SYMMETRIC POTENTIAL
    Ao, Weiwei
    Wei, Juncheng
    Yang, Wen
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (11) : 5561 - 5601