Breather similariton solutions of the nonlocal nonlinear Schrodinger equation with varying coefficients

被引：1
|
作者：
Wang, Yan [1 ]
Wang, Nan [1 ]
Zhang, Ruifang [2 ]
机构：
[1] Shanxi Univ, Coll Phys & Elect Engn, Taiyuan 030006, Peoples R China
[2] Taiyuan Inst Technol, Dept Sci, Taiyuan 030008, Peoples R China
来源：
OPTIK | 2022年 / 270卷
关键词：
Similarity transformation method; Nonlocal nonlinear Schrodinger equation; Varying coefficients; Self-similar breather solution; OPTICAL SOLITONS; DYNAMICS; WAVES; LAW;
D O I：
10.1016/j.ijleo.2022.169953
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The nonlocal nonlinear Schrodinger equation (NNLS) with distributed coefficients is investigated theoretically. With the aid of the similarity transformation method, the first-order self-similar breather solution is derived. Based on the solution, the dynamics of self-similar breathers in various systems has been graphically analyzed and discussed in detail. The results show that by regulating the parameters of the self-similar breather solution, it can be clearly observed some special phenomena and exhibits the multiple dynamics behaviors. The results can provide certain theoretical analysis for controlling local waves in nonlocal nonlinear media.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Breather solutions of the nonlocal nonlinear self-focusing Schrodinger equation
    Zhong, Wei-Ping
    Yang, Zhengping
    Belic, Milivoj
    Zhong, WenYe
    [J]. PHYSICS LETTERS A, 2021, 395
  • [2] Breather solutions to the nonlinear Schrodinger equation with variable coefficients and a linear potential
    Yang, Zhengping
    Zhong, Wei-Ping
    Belic, Milivoj R.
    [J]. PHYSICA SCRIPTA, 2012, 86 (01)
  • [3] Analytical dynamics of optical similariton solutions of the amplified nonlinear Schrodinger equation with varying parameters
    Wabnitz, S.
    [J]. NONLINEAR OPTICS AND APPLICATIONS II, 2007, 6582
  • [4] Breather solutions to the focusing nonlinear Schrodinger equation
    Tajiri, M
    Watanabe, Y
    [J]. PHYSICAL REVIEW E, 1998, 57 (03): : 3510 - 3519
  • [5] Soliton and breather solutions of the modified nonlinear Schrodinger equation
    Zhang, Hai-Qiang
    Zhai, Bao-Guo
    Wang, Xiao-Li
    [J]. PHYSICA SCRIPTA, 2012, 85 (01)
  • [6] RATIONAL SOLUTIONS AND ROGUE WAVES IN NONLINEAR SCHRODINGER EQUATION WITH VARYING COEFFICIENTS
    Song, Ni
    Zhang, Wei
    Zhou, Sha
    Wang, Qian
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2014, VOL 6, 2014,
  • [7] Breather management in the derivative nonlinear Schrodinger equation with variable coefficients
    Zhong, Wei-Ping
    Belic, Milivoj
    Malomed, Boris A.
    Huang, Tingwen
    [J]. ANNALS OF PHYSICS, 2015, 355 : 313 - 321
  • [8] Novel bright and kink similariton solutions of cubic-quintic nonlinear Schrodinger equation with distributed coefficients
    Xue, Ruirong
    Yang, Rongcao
    Jia, Heping
    Wang, Yan
    [J]. PHYSICA SCRIPTA, 2021, 96 (12)
  • [9] Exact superregular breather solutions to the generalized nonlinear Schrodinger equation with nonhomogeneous coefficients and dissipative effects
    Perego, Auro M.
    [J]. OPTICS LETTERS, 2020, 45 (14) : 3909 - 3912
  • [10] Soliton solutions for the nonlocal nonlinear Schrodinger equation
    Huang, Xin
    Ling, Liming
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (05):
12345