Binary Darboux transformation for the coupled Sasa-Satsuma equations

被引：52
作者：
Zhang, Hai-Qiang [1 ]
Wang, Yue [1 ]
Ma, Wen-Xiu [2 ,3 ,4 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, POB 253, Shanghai 200093, Peoples R China
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[4] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
来源：
CHAOS | 2017年 / 27卷 / 07期
关键词：
NONLINEAR SCHRODINGER-EQUATIONS; OPTICAL SOLITONS; INTEGRABILITY; COMPUTATION; FIBER;
D O I：
10.1063/1.4986807
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The binary Darboux transformation method is applied to the coupled Sasa-Satsuma equations, which can be used to describe the propagation dynamics of femtosecond vector solitons in the birefringent fibers with third-order dispersion, self-steepening, and stimulated Raman scattering higher-order effects. An N-fold iterative formula of the resulting binary Darboux transformation is presented in terms of the quasideterminants. Via the simplest case of this formula, a few of illustrative explicit solutions to the coupled Sasa-Satsuma equations are generated from vanishing and non-vanishing backgrounds, which include the breathers, single-and double-hump bright vector solitons, and anti-dark vector solitons. Published by AIP Publishing.
引用
收藏
页数：7
相关论文
共 50 条
  • [31] Novel soliton solutions of Sasa-Satsuma model with local derivative via an analytical technique
    Ozdemir, Neslihan
    Esen, Handenur
    Secer, Aydin
    Bayram, Mustafa
    JOURNAL OF LASER APPLICATIONS, 2022, 34 (02)
  • [32] Geometric realization of the Sasa-Satsuma equation on the symmetric space SU(3)/U(2)
    Zhong, Shiping
    Zhao, Zehui
    JOURNAL OF GEOMETRY AND PHYSICS, 2024, 201
  • [33] The Sasa-Satsuma Equation on a Non-Zero Background: The Inverse Scattering Transform and Multi-Soliton Solutions
    Wen, Lili
    Fan, Engui
    Chen, Yong
    ACTA MATHEMATICA SCIENTIA, 2023, 43 (03) : 1045 - 1080
  • [34] Abundant optical solitons to the Sasa-Satsuma higher-order nonlinear Schrodinger equation
    Khodadad, F. Samsami
    Mirhosseini-Alizamini, S. M.
    Gunay, B.
    Akinyemi, Lanre
    Rezazadeh, Hadi
    Inc, Mustafa
    OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (12)
  • [35] Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method
    Liu, Nan
    Guo, Boling
    JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (01)
  • [36] Abundant optical solitons to the Sasa-Satsuma higher-order nonlinear Schrödinger equation
    F. Samsami Khodadad
    S. M. Mirhosseini-Alizamini
    B. Günay
    Lanre Akinyemi
    Hadi Rezazadeh
    Mustafa Inc
    Optical and Quantum Electronics, 2021, 53
  • [37] The higher-order soliton solutions for the coupled Sasa-Satsuma system via the (partial derivative)over-bar-dressing method
    Kuang, Yonghui
    Zhu, Junyi
    APPLIED MATHEMATICS LETTERS, 2017, 66 : 47 - 53
  • [38] Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions
    Simbawa, Eman
    Seadawy, Aly R.
    Sugati, Taghreed G.
    CHAOS SOLITONS & FRACTALS, 2021, 152
  • [39] Optical soliton solutions of (1+1)- and (2+1)-dimensional generalized Sasa-Satsuma equations using new Kudryashov method
    Cinar, Melih
    Secer, Aydin
    Ozisik, Muslum
    Bayram, Mustafa
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (02)
  • [40] Darboux transformation and classification of solution for mixed coupled nonlinear Schrodinger equations
    Ling, Liming
    Zhao, Li-Chen
    Guo, Boling
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 32 : 285 - 304
12345