Symmetric and Anti-Symmetric Solitons of the Fractional Second-and Third-Order Nonlinear Schr?dinger Equation

被引:3
|
作者
曹祺豪 [1 ]
戴朝卿 [1 ]
机构
[1] College of Optical,Mechanical and Electrical Engineering,Zhejiang A&F University
基金
中国国家自然科学基金;
关键词
D O I
暂无
中图分类号
O175.29 [非线性偏微分方程];
学科分类号
070104 ;
摘要
The fractional second-and third-order nonlinear Schr?dinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of the Levy index on different solitons is analyzed.The stability and stability interval of solitons are discussed.The anti-interference ability of stable solitons to the small disturbance shows a good robustness.
引用
收藏
页码:23 / 26
页数:4
相关论文
共 50 条
  • [1] Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrodinger Equation
    Cao, Qi-Hao
    Dai, Chao-Qing
    [J]. CHINESE PHYSICS LETTERS, 2021, 38 (09)
  • [2] Dynamical behavior of the fractional generalized nonlinear Schrödinger equation of third-order
    Ahmed, Athar I.
    Algolam, Mohamed S.
    Cesarano, Clemente
    Rizk, Doaa
    Gassem, F.
    Mohammed, Wael W.
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (05)
  • [3] Solitons, rogue waves and interaction behaviors of a third-order nonlinear Schr?dinger equation
    Shi, Kai-Zhong
    Ren, Bo
    Shen, Shou-Feng
    Wang, Guo-Fang
    Peng, Jun-Da
    Wang, Wan-Li
    [J]. RESULTS IN PHYSICS, 2022, 37
  • [4] Symmetric and antisymmetric vector solitons for the fractional quadric-cubic coupled nonlinear Schr?dinger equation
    许家祯
    曹祺豪
    戴朝卿
    [J]. Communications in Theoretical Physics., 2022, 74 (07) - 12
  • [5] Solitons in a third-order nonlinear Schrödinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion
    N. V. Aseeva
    E. M. Gromov
    I. V. Onosova
    V. V. Tyutin
    [J]. JETP Letters, 2016, 103 : 653 - 657
  • [6] Highly dispersive Optical solitons to the generalized third-order nonlinear Schrödinger dynamical equation with applications
    Rabie, Wafaa B.
    Seadawy, Aly R.
    Ahmed, Hamdy M.
    [J]. OPTIK, 2021, 241
  • [7] Solitons in the fractional Schr?dinger equation with parity-time-symmetric lattice potential
    XIANKUN YAO
    XUEMING LIU
    [J]. Photonics Research, 2018, (09) : 875 - 879
  • [8] The extended third-order nonlinear Schrödinger equation and Galilean transformation
    V. I. Karpman
    [J]. The European Physical Journal B - Condensed Matter and Complex Systems, 2004, 39 : 341 - 350
  • [9] Painlevé analysis of the resonant third-order nonlinear Schrödinger equation
    Kudryashov, Nikolay A.
    [J]. APPLIED MATHEMATICS LETTERS, 2024, 158
  • [10] Fundamental Solutions for the Generalised Third-Order Nonlinear Schrödinger Equation
    Abdelrahman M.A.E.
    Alharbi A.
    Almatrafi M.B.
    [J]. International Journal of Applied and Computational Mathematics, 2020, 6 (6)