DARBOUX TRANSFORMATION AND HIGHER-ORDER SOLUTIONS OF THE SASA-SATSUMA EQUATION

被引：0
|
作者：
Guo, Lijuan [1 ]
Cheng, Yi [1 ]
Mihalache, Dumitru [2 ]
He, Jingsong [3 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Horia Hulubei Natl Inst Phys & Nucl Engn, Reactorului 30,POB MG-6, RO-077125 Bucharest, Romania
[3] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
ROMANIAN JOURNAL OF PHYSICS | 2019年 / 64卷 / 1-2期
关键词：
Sasa-Satsuma equation; Darboux transformation; W-shaped rational solitons; Semi-rational solitons; Periodic solutions; ROGUE WAVES; SOLITON-SOLUTIONS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive a general n-fold Darboux transformation (DT) matrix T-n for the integrable Sasa-Satsuma equation. The elements of the matrix T-n are expressed in compact determinant forms. Through the detailed analysis of the linear instability phenomenon, different kinds of solitons on a continuous wave background are obtained by using the DT, including W-shaped first-order and second-order rational solutions, coexisting W-shaped second-order rational solutions, first-order semi-rational solutions, first-order and second-order periodic solutions, first-order half-periodic solutions, and second-order breather-positon solutions.
引用
收藏
页数：20
相关论文
共 50 条
  • [21] Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative
    Fadhal, Emad
    Akbulut, Arzu
    Kaplan, Melike
    Awadalla, Muath
    Abuasbeh, Kinda
    SYMMETRY-BASEL, 2022, 14 (11):
  • [22] 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
  • [23] New soliton solutions for Sasa-Satsuma equation
    Demiray, Seyma Tuluce
    Pandir, Yusuf
    Bulut, Hasan
    WAVES IN RANDOM AND COMPLEX MEDIA, 2015, 25 (03) : 417 - 428
  • [24] Higher-order Sasa–Satsuma equation: Nucci’s reduction and soliton solutions
    Houria Triki
    M. Mirzazadeh
    Hamdy M. Ahmed
    Islam Samir
    M. S. Hashemi
    The European Physical Journal Plus, 138
  • [25] Optical solitary solutions for the stochastic Sasa-Satsuma equation
    Al-Askar, Farah M.
    RESULTS IN PHYSICS, 2023, 52
  • [26] 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):
  • [27] Rogue wave solutions to the coupled Sasa-Satsuma equation
    Zhang, Guangxiong
    Chen, Xiyao
    Feng, Bao-Feng
    Wu, Chengfa
    PHYSICA D-NONLINEAR PHENOMENA, 2025, 474
  • [28] General rogue wave solutions to the Sasa-Satsuma equation
    Wu, Chengfa
    Zhang, Guangxiong
    Shi, Changyan
    Feng, Bao-Feng
    IMA JOURNAL OF APPLIED MATHEMATICS, 2025,
  • [29] Optical solutions of Sasa-Satsuma equation in optical fibers
    Sun, Fan
    OPTIK, 2021, 228
  • [30] Dark and antidark solitons for the defocusing coupled Sasa-Satsuma system by the Darboux transformation
    Zhang, Hai-Qiang
    Chen, Fa
    APPLIED MATHEMATICS LETTERS, 2019, 88 : 237 - 242
12345