Higher-order localized wave solutions to a coupled fourth-order nonlinear Schrodinger equation

被引：0
|
作者：
Song, N. [1 ]
Shang, H. J. [1 ]
Zhang, Y. F. [1 ]
Ma, W. X. [2 ,3 ,4 ,5 ]
机构：
[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[5] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
来源：
MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 26N27期
基金：
中国国家自然科学基金;
关键词：
Coupled fourth-order nonlinear Schrodinger equation; generalized Darboux transformation; localized waves; ROGUE WAVES;
D O I：
10.1142/S0217984922501469
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, higher-order localized waves for a coupled fourth-order nonlinear Schrodinger equation are investigated via a generalized Darboux transformation. The Nth-order localized wave solutions of this equation are derived via Lax pair and Darboux matrix. Evolution plots are made and dynamical characteristics of the obtained higher-order localized waves are analyzed through numerical simulation. It is observed that rogue waves coexist with dark-bright solitons and breathers. The presented results also show that different values of the involved parameters have diverse effects on the higher-order localized waves.
引用
收藏
页数：11
相关论文
共 50 条
  • [31] Exact analytical solutions of higher-order nonlinear Schrodinger equation
    Wang, Hongcheng
    Liang, Jianchu
    Chen, Guihua
    Zhou, Ling
    Ling, Dongxiong
    Liu, Minxia
    OPTIK, 2017, 131 : 438 - 445
  • [32] Solitary wave interaction for a higher-order nonlinear Schrodinger equation
    Hoseini, S. M.
    Marchant, T. R.
    IMA JOURNAL OF APPLIED MATHEMATICS, 2007, 72 (02) : 206 - 222
  • [33] Bifurcation Analysis and Solutions of a Higher-Order Nonlinear Schrodinger Equation
    Li, Yi
    Shan, Wen-rui
    Shuai, Tianping
    Rao, Ke
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [34] Integrability and bright soliton solutions to the coupled nonlinear Schrodinger equation with higher-order effects
    Wang, Deng-Shan
    Yin, Shujuan
    Tian, Ye
    Liu, Yifang
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 296 - 309
  • [35] Factorization technique for the fourth-order nonlinear Schrodinger equation
    Hayashi, Nakao
    Naumkin, Pavel I.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (05): : 2343 - 2377
  • [36] DEFOCUSING FOURTH-ORDER COUPLED NONLINEAR SCHRODINGER EQUATIONS
    Ghanmi, Radhia
    Saanouni, Tarek
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [37] Cnoidal and solitary wave solutions of the coupled higher order nonlinear Schrodinger equation in nonlinear optics
    Porsezian, K.
    Kalithasan, B.
    CHAOS SOLITONS & FRACTALS, 2007, 31 (01) : 188 - 196
  • [38] A higher-order coupled nonlinear Schrodinger system: solitons, breathers, and rogue wave solutions
    Guo, Rui
    Zhao, Hui-Hui
    Wang, Yuan
    NONLINEAR DYNAMICS, 2016, 83 (04) : 2475 - 2484
  • [39] BIFURCATION OF PHASE AND EXACT TRAVELING WAVE SOLUTIONS OF A HIGHER-ORDER NONLINEAR SCHRODINGER EQUATION
    Yan, Fang
    Liu, Haihong
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (05):
  • [40] Solitary wave solutions for a higher order nonlinear Schrodinger equation
    Triki, Houria
    Taha, Thiab R.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 82 (07) : 1333 - 1340
12345