Soliton solutions and their stabilities of three (2+1)-dimensional PT-symmetric nonlinear Schrodinger equations with higher-order diffraction and nonlinearities

被引:28
作者
Chen, Shao-Jiang [1 ]
Lin, Jia-Ni [1 ]
Wang, Yue-Yue [1 ]
机构
[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Peoples R China
来源
OPTIK | 2019年 / 194卷
基金
中国国家自然科学基金;
关键词
Optical solitons; (2+1)-dimensional PT-symmetric nonlinear; Schrodinger equation; Fourth-order diffraction; Higher-order nonlinear media; SPATIAL SOLITONS; LOCALIZED STRUCTURES; VORTEX SOLITONS; MEDIA; DYNAMICS; LUMP;
D O I
10.1016/j.ijleo.2019.04.099
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The (2 + 1)-dimensional PT-symmetric nonlinear Schrodinger equations with the second-order and fourth-order diffractions and different nonlinear effects are introduced to describe the evolution of optical wave, and the corresponding soliton solutions are analytical presented. From these solutions, we find that the cubic, quintic and septimal nonlinear coefficients are respectively important to the form of soliton in the cubic-quintic, quintic-septimal and cubic-quintic-septimal nonlinear media. The stability of solitons in different nonlinear media with the second-order and fourth-order diffractions and PT-symmetric potentials is studied. The influence of fourth-order diffraction effect on the stability of solitons is discussed.
引用
收藏
页数:8
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共 45 条
  • [11] Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrodinger equation with partial nonlocality
    Dai, Chao-Qing
    Liu, Jiu
    Fan, Yan
    Yu, Ding-Guo
    [J]. NONLINEAR DYNAMICS, 2017, 88 (02) : 1373 - 1383
  • [12] Dai CQ, 2017, NONLINEAR DYNAM, V87, P1675, DOI 10.1007/s11071-016-3143-0
  • [13] Dai CQ, 2016, NONLINEAR DYNAM, V86, P999, DOI 10.1007/s11071-016-2941-8
  • [14] Light bullet in parity-time symmetric potential
    Dai, Chao-Qing
    Wang, Xiao-Gang
    [J]. NONLINEAR DYNAMICS, 2014, 77 (04) : 1133 - 1139
  • [15] Controllable dynamical behaviors for spatiotemporal bright solitons on continuous wave background
    Dai, Chao-Qing
    Zhang, Jie-Fang
    [J]. NONLINEAR DYNAMICS, 2013, 73 (03) : 2049 - 2057
  • [16] Quasi-two-dimensional Bose-Einstein condensates with spatially modulated cubic-quintic nonlinearities
    Dai, Chao-Qing
    Wang, Deng-Shan
    Wang, Liang-Liang
    Zhang, Jie-Fang
    Liu, W. M.
    [J]. ANNALS OF PHYSICS, 2011, 326 (09) : 2356 - 2368
  • [17] Exact spatial similaritons for the generalized (2+1)-dimensional nonlinear Schrodinger equation with distributed coefficients
    Dai, Chao-Qing
    Zhu, Shi-Qun
    Wang, Liang-Liang
    Zhang, Jie-Fang
    [J]. EPL, 2010, 92 (02)
  • [18] Analytical spatiotemporal localizations for the generalized (3+1)-dimensional nonlinear Schrodinger equation
    Dai, Chaoqing
    Wang, Yueyue
    Zhang, Jiefang
    [J]. OPTICS LETTERS, 2010, 35 (09) : 1437 - 1439
  • [19] ANALYTICAL SOLUTIONS OF DIFFERENTIAL-DIFFERENCE SINE-GORDON EQUATION
    Ding, Da-Jiang
    Jin, Di-Qing
    Dai, Chao-Qing
    [J]. THERMAL SCIENCE, 2017, 21 (04): : 1701 - 1705
  • [20] Gap solitons in PT-symmetric optical lattices with higher-order diffraction
    Ge, Lijuan
    Shen, Ming
    Ma, Chunlan
    Zang, Taocheng
    Dai, Lu
    [J]. OPTICS EXPRESS, 2014, 22 (24): : 29435 - 29444