Interaction theory of mirror-symmetry soliton pairs in nonlocal nonlinear Schrodinger equation

被引:54
|
作者
Song, Li-Min [1 ]
Yang, Zhen-Jun [1 ]
Pang, Zhao-Guang [1 ]
Li, Xing-Liang [1 ]
Zhang, Shu-Min [1 ]
机构
[1] Hebei Normal Univ, Coll Phys & Informat Engn, Hebei Adv Thin Films Key Lab, Shijiazhuang 050024, Hebei, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlocal nonlinear Schrodinger equation; Optical soliton; Nonlinear propagation;
D O I
10.1016/j.aml.2018.10.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we theoretically investigate the evolution of the soliton pairs in strongly nonlocal nonlinear media, which is modeled by the nonlocal nonlinear Schrodinger equation. Taking two pairs of solitons as an example, which initial incident directions have a mirror symmetry, a set of mathematical expressions are derived to describe the soliton pairs' propagation, the soliton spacing, the area of the optical field. The results demonstrate that the motion state of the soliton pairs is mirror-symmetry. Numerical simulations are carried out to illustrate the quintessential propagation properties. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码:42 / 48
页数:7
相关论文
共 50 条
  • [1] Soliton solutions for the nonlocal nonlinear Schrodinger equation
    Huang, Xin
    Ling, Liming
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (05):
  • [2] On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrodinger equation
    Priya, N. Vishnu
    Senthilvelan, M.
    Rangarajan, Govindan
    Lakshmanan, M.
    [J]. PHYSICS LETTERS A, 2019, 383 (01) : 15 - 26
  • [3] Nondegenerate soliton dynamics of nonlocal nonlinear Schrodinger equation
    Geng, Kai-Li
    Zhu, Bo-Wei
    Cao, Qi-Hao
    Dai, Chao-Qing
    Wang, Yue-Yue
    [J]. NONLINEAR DYNAMICS, 2023, 111 (17) : 16483 - 16496
  • [4] Mixed soliton solutions of the defocusing nonlocal nonlinear Schrodinger equation
    Xu, Tao
    Lan, Sha
    Li, Min
    Li, Ling-Ling
    Zhang, Guo-Wei
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2019, 390 : 47 - 61
  • [5] Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrodinger equation
    Shi, Xujie
    Li, Jie
    Wu, Chengfa
    [J]. CHAOS, 2019, 29 (02)
  • [6] Pure soliton solutions of the nonlocal Kundu-nonlinear Schrodinger equation
    Wang, Xiu-Bin
    Han, Bo
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2021, 206 (01) : 40 - 67
  • [7] Soliton solutions of the nonlinear Schrodinger equation with nonlocal Coulomb and Yukawa interactions
    Hartmann, Betti
    Zakrzewski, Wojtek J.
    [J]. PHYSICS LETTERS A, 2007, 366 (06) : 540 - 544
  • [8] Physically significant nonlocal nonlinear Schrodinger equation and its soliton solutions
    Yang, Jianke
    [J]. PHYSICAL REVIEW E, 2018, 98 (04)
  • [9] Soliton solutions to the nonlocal non-isospectral nonlinear Schrodinger equation
    Feng, Wei
    Zhao, Song-Lin
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (25):
  • [10] Grey solitons and soliton interaction of higher nonlinear Schrodinger equation
    Li, Qiu-Yan
    Li, Zai-Dong
    He, Peng-Bin
    Song, Wei-Wei
    Fu, Guangsheng
    [J]. CANADIAN JOURNAL OF PHYSICS, 2010, 88 (01) : 9 - 14