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
  • [1] Higher-order rogue wave solutions of the Sasa-Satsuma equation
    Feng, Bao-Feng
    ShV, Changyan
    Zhang, Guangxiong
    Wu, Chengfa
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (23)
  • [2] Darboux Transformation and Soliton Solutions of the Generalized Sasa-Satsuma Equation
    Sun, Hong-Qian
    Zhu, Zuo-Nong
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2023, 92 (06)
  • [3] Binary Darboux transformation for the Sasa-Satsuma equation
    Nimmo, Jonathan J. C.
    Yilmaz, Halis
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (42)
  • [4] Soliton and breather solutions of the Sasa-Satsuma equation via the Darboux transformation
    Xu, Tao
    Wang, Danhua
    Li, Min
    Liang, Huan
    PHYSICA SCRIPTA, 2014, 89 (07)
  • [5] Darboux transformation and soliton solutions of the coupled generalized Sasa-Satsuma equation
    Wang, Kunle
    Huang, Lin
    Yu, Jing
    NONLINEAR DYNAMICS, 2023, 111 (22) : 21279 - 21288
  • [6] Darboux transformation and soliton solutions of the coupled generalized Sasa-Satsuma equation
    Kunle Wang
    Lin Huang
    Jing Yu
    Nonlinear Dynamics, 2023, 111 : 21279 - 21288
  • [7] 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):
  • [8] Dynamics of optical solitons in higher-order Sasa-Satsuma equation
    Yao, Shao-Wen
    Akinyemi, Lanre
    Mirzazadeh, Mohammad
    Inc, Mustafa
    Hosseini, Kamyar
    Senol, Mehmet
    RESULTS IN PHYSICS, 2021, 30
  • [9] Sasa-Satsuma higher-order nonlinear Schrodinger equation and its bilinearization and multisoliton solutions
    Gilson, C
    Hietarinta, J
    Nimmo, J
    Ohta, Y
    PHYSICAL REVIEW E, 2003, 68 (01): : 166141 - 166141
  • [10] Higher-order Sasa-Satsuma equation: Bright and dark optical solitons
    Wazwaz, Abdul-Majid
    Mehanna, Mona
    OPTIK, 2021, 243
12345