Rogue Waves of the Fokas-Lenells Equation

被引：112
|
作者：
He, Jingsong [1 ]
Xu, Shuwei [1 ]
Porsezian, Kuppuswamy [2 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
[2] Pondicherry Univ, Dept Phys, Pondicherry 605014, India
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2012年 / 81卷 / 12期
关键词：
Fokas-Lenells equation; Darboux transformation; breather solution; rogue wave; NONLINEAR SCHRODINGER-EQUATION; DARBOUX TRANSFORMATION; MODULATION INSTABILITY; FREAK-WAVES; SOLITON;
D O I：
10.1143/JPSJ.81.124007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Fokas-Lenells (FL) equation arises as a model equation which describes for nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic order [in the leading asymptotic order the nonlinear Schrodinger (NLS) equation results]. Here we present an explicit analytical representation for the rogue waves of the FL equation. This representation is constructed by deriving an appropriate Darboux transformation (DT) and utilizing a Taylor series expansion of the associated breather solution. When certain higher-order nonlinear effects are considered, the propagation of rogue waves in optical fibers is given.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] The n-order rogue waves of Fokas-Lenells equation
    Xu, Shuwei
    He, Jingsong
    Cheng, Yi
    Porseizan, K.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (06) : 1106 - 1126
  • [2] Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation
    Wang, Chun
    Fan, Rong
    Zhang, Zhao
    Li, Biao
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
  • [3] Rogue wave patterns of the Fokas-Lenells equation
    Yan, Xue-wei
    Chen, Yong
    [J]. EPL, 2023, 144 (06)
  • [4] Rogue waves and their patterns for the coupled Fokas-Lenells equations
    Ling, Liming
    Su, Huajie
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2024, 461
  • [5] A Hermitian symmetric space Fokas-Lenells equation: Solitons, breathers, rogue waves
    Geng, Xianguo
    Shen, Jing
    Xue, Bo
    [J]. ANNALS OF PHYSICS, 2019, 404 : 115 - 131
  • [6] Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation
    Wang, Xin
    Wei, Jiao
    Wang, Lei
    Zhang, Jianlin
    [J]. NONLINEAR DYNAMICS, 2019, 97 (01) : 343 - 353
  • [7] Combined optical solitary waves of the Fokas-Lenells equation
    Triki, Houria
    Wazwaz, Abdul-Majid
    [J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2017, 27 (04) : 587 - 593
  • [8] High-order rogue waves and their dynamics of the Fokas-Lenells equation revisited: a variable separation technique
    Wang, Zihao
    He, Linyun
    Qin, Zhenyun
    Grimshaw, Roger
    Mu, Gui
    [J]. NONLINEAR DYNAMICS, 2019, 98 (03) : 2067 - 2077
  • [9] THE FOKAS-LENELLS EQUATION ON THE FINITE INTERVAL
    Xiao, Yu
    Fan, Engui
    Xu, Jian
    [J]. ACTA MATHEMATICA SCIENTIA, 2017, 37 (03) : 852 - 876
  • [10] Solitons, breathers and rogue waves for the coupled Fokas-Lenells system via Darboux transformation
    Zhang, Y.
    Yang, J. W.
    Chow, K. W.
    Wu, C. F.
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 33 : 237 - 252
12345