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：
NONLINEAR AND MODERN MATHEMATICAL PHYSICS | 2010年 / 1212卷
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
  • [31] Higher-order Sasa-Satsuma equation: Nucci's reduction and soliton solutions
    Triki, Houria
    Mirzazadeh, M.
    Ahmed, Hamdy M.
    Samir, Islam
    Hashemi, M. S.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (05):
  • [32] Optical solitary solutions for the stochastic Sasa-Satsuma equation
    Al-Askar, Farah M.
    RESULTS IN PHYSICS, 2023, 52
  • [33] Riemann-Hilbert approach and N-soliton solutions for a generalized Sasa-Satsuma equation
    Geng, Xianguo
    Wu, Jianping
    WAVE MOTION, 2016, 60 : 62 - 72
  • [34] Multi-breather solutions to the Sasa-Satsuma equation
    Wu, Chengfa
    Wei, Bo
    Shi, Changyan
    Feng, Bao-Feng
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 478 (2258):
  • [35] Rogue wave solutions to the coupled Sasa-Satsuma equation
    Zhang, Guangxiong
    Chen, Xiyao
    Feng, Bao-Feng
    Wu, Chengfa
    PHYSICA D-NONLINEAR PHENOMENA, 2025, 474
  • [36] New optical soliton solutions and dynamic behaviours analysis of the Sasa-Satsuma equation in optical fibers
    Yu, Hong-feng
    Wu, Wei-nan
    Yang, Bing-nuo
    Guo, Peng
    JOURNAL OF MODERN OPTICS, 2024, 71 (09) : 310 - 320
  • [37] PAINLEV′E ASYMPTOTICS FOR THE COUPLED SASA-SATSUMA EQUATION
    Liu, Nan
    Lan, Zhong-Zhou
    Yu, Jia-Dong
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (09) : 3763 - 3778
  • [38] The generalized Sasa-Satsuma equation and its optical solitons
    Hosseini, K.
    Sadri, K.
    Salahshour, S.
    Baleanu, D.
    Mirzazadeh, M.
    Inc, Mustafa
    OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (11)
  • [39] Optical solitons of Sasa-Satsuma equation in birefringent fibers
    Zhang, Jian
    OPTIK, 2022, 270
  • [40] General rogue wave solutions to the Sasa-Satsuma equation
    Wu, Chengfa
    Zhang, Guangxiong
    Shi, Changyan
    Feng, Bao-Feng
    IMA JOURNAL OF APPLIED MATHEMATICS, 2025,
12345