Riemann-Hilbert approach of the complex Sharma-Tasso-Olver equation and its N-soliton solutions

被引：3
|
作者：
Li, Sha [1 ]
Xia, Tiecheng [1 ]
Wei, Hanyu [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Zhoukou Normal Univ, Coll Math & Stat, Zhoukou 466001, Peoples R China
来源：
CHINESE PHYSICS B | 2023年 / 32卷 / 04期
基金：
中国国家自然科学基金;
关键词：
complex Sharma-Tasso-Olver equation; Riemann-Hilbert problem; spectral problem; soliton solutions; TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION; FAMILY;
D O I：
10.1088/1674-1056/ac960a
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach. The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem of the Lax pair. Subsequently, in the case that the Riemann-Hilbert problem is irregular, the N-soliton solutions of the equation can be deduced. In addition, the three-dimensional graphic of the soliton solutions and wave propagation image are graphically depicted and further discussed.
引用
收藏
页数：5
相关论文
共 50 条
  • [41] Riemann-Hilbert problems and N-soliton solutions for a coupled mKdV system
    Ma, Wen-Xiu
    JOURNAL OF GEOMETRY AND PHYSICS, 2018, 132 : 45 - 54
  • [42] N-soliton solutions for the Maxwell-Bloch equations via the Riemann-Hilbert approach
    Li, Yan
    Li, Jian
    Wang, Ruiqi
    MODERN PHYSICS LETTERS B, 2021, 35 (21):
  • [43] Riemann-Hilbert approach and N-soliton solutions for a new two-component Sasa-Satsuma equation
    Wang, Jia
    Su, Ting
    Geng, Xianguo
    Li, Ruomeng
    NONLINEAR DYNAMICS, 2020, 101 (01) : 597 - 609
  • [44] The N-soliton solutions for the matrix modified Korteweg-de Vries equation via the Riemann-Hilbert approach
    Chen, Xiaotong
    Zhang, Yi
    Liang, Jianli
    Wang, Rui
    EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (07):
  • [45] RIEMANN-HILBERT METHOD FOR THE THREE-COMPONENT SASA-SATSUMA EQUATION AND ITS N-SOLITON SOLUTIONS
    Xu, Siqi
    Li, Ruomeng
    Geng, Xianguo
    REPORTS ON MATHEMATICAL PHYSICS, 2020, 85 (01) : 77 - 103
  • [46] RIEMANN-HILBERT APPROACH AND N-SOLITON SOLUTIONS OF THE GENERALIZED MIXED NONLINEAR SCHRODINGER EQUATION WITH NONZERO BOUNDARY CONDITIONS
    Qiu, DeQin
    Lv, Cong
    THEORETICAL AND MATHEMATICAL PHYSICS, 2021, 209 (02) : 1552 - 1578
  • [47] Riemann Hilbert approach and N-soliton solutions for the generalized nonlinear Schrodinger equation
    Ma, Xi
    Xia, Tie-cheng
    PHYSICA SCRIPTA, 2019, 94 (09)
  • [48] N-soliton solutions of the generalized mixed nonlinear Schrodinger equation through the Riemann-Hilbert method
    Li, Sha
    Xia, Tiecheng
    Li, Jian
    MODERN PHYSICS LETTERS B, 2022, 36 (08):
  • [49] Exp-function method for constructing exact solutions of Sharma-Tasso-Olver equation
    Erbas, Baris
    Yusufoglu, Elcin
    CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2326 - 2330
  • [50] Soliton solutions of the time-fractional Sharma-Tasso-Olver equations arise in nonlinear optics
    Pavani, K.
    Raghavendar, K.
    Aruna, K.
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (05)
12345