Dark soliton solution of Sasa-Satsuma equation

被引:28
|
作者
Ohta, Y. [1 ]
机构
[1] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan
来源
关键词
Integrable systems; Solitons; NONLINEAR SCHRODINGER-EQUATION; FIBERS;
D O I
10.1063/1.3367022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Sasa-Satsuma equation is a higher order nonlinear Schrodinger type equation which admits bright soliton solutions with internal freedom. We present the dark soliton solutions for the equation by using Gram type determinant. The dark solitons have no internal freedom and exist for both defocusing and focusing equations.
引用
收藏
页码:114 / 121
页数:8
相关论文
共 50 条
  • [41] Optical solutions of Sasa-Satsuma equation in optical fibers
    Sun, Fan
    OPTIK, 2021, 228
  • [42] Soliton solutions of the Sasa-Satsuma equation in the monomode optical fibers including the beta-derivatives
    Hosseini, K.
    Mirzazadeh, M.
    Gomez-Aguilar, J. F.
    OPTIK, 2020, 224
  • [43] Painleve Integrability and a New Exact Solution of the Multi-Component Sasa-Satsuma Equation
    Ye, Yujian
    Zhang, Danda
    Di, Yanmei
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (10): : 823 - 828
  • [44] Twisted rogue-wave pairs in the Sasa-Satsuma equation
    Chen, Shihua
    PHYSICAL REVIEW E, 2013, 88 (02):
  • [45] Riemann-Hilbert approach and N-soliton solutions of the coupled generalized Sasa-Satsuma equation
    Wu, Fan
    Huang, Lin
    NONLINEAR DYNAMICS, 2022, 110 (04) : 3617 - 3627
  • [46] Long-time asymptotics for the generalized Sasa-Satsuma equation
    Wang, Kedong
    Geng, Xianguo
    Chen, Mingming
    Li, Ruomeng
    AIMS MATHEMATICS, 2020, 5 (06): : 7413 - 7437
  • [47] Optical solitons to Sasa-Satsuma model with trial equation approach
    Yildirim, Yakup
    OPTIK, 2019, 184 : 70 - 74
  • [48] Penrose instabilities and the emergence of rogue waves in Sasa-Satsuma equation
    Pradeepa, M.
    Priya, N. Vishnu
    Senthilvelan, M.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (05):
  • [49] Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation
    Mu, Gui
    Qin, Zhenyun
    Grimshaw, Roger
    Akhmediev, Nail
    PHYSICA D-NONLINEAR PHENOMENA, 2020, 402
  • [50] Rogue waves of the Sasa-Satsuma equation in a chaotic wave field
    Soto-Crespo, J. M.
    Devine, N.
    Hoffmann, N. P.
    Akhmediev, N.
    PHYSICAL REVIEW E, 2014, 90 (03):