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
  • [1] Modulational instability of the higher-order nonlinear Schrodinger equation with fourth-order dispersion and quintic nonlinear terms
    Hong, Woo-Pyo
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2006, 61 (5-6): : 225 - 234
  • [2] Dynamics of higher-order localized waves for a coupled nonlinear Schrodinger equation
    Song, N.
    Xue, H.
    Xue, Y. K.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 82
  • [3] Scattering of solutions to the fourth-order nonlinear Schrodinger equation
    Hayashi, Nakao
    Mendez-Navarro, Jesus A.
    Naumkin, Pavel I.
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (03)
  • [4] Localized Properties of Rogue Wave for a Higher-Order Nonlinear Schrodinger Equation
    Liu Wei
    Qiu De-Qin
    He Jing-Song
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2015, 63 (05) : 525 - 534
  • [5] STABILIZATION OF SOLUTIONS TO HIGHER-ORDER NONLINEAR SCHRODINGER EQUATION WITH LOCALIZED DAMPING
    Bisognin, Eleni
    Bisognin, Vanilde
    Vera Villagran, Octavio Paulo
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [6] Analytical methods via bright-dark solitons and solitary wave solutions of the higher-order nonlinear Schrodinger equation with fourth-order dispersion
    Seadawy, Aly R.
    Iqbal, Mujahid
    Lu, Dianchen
    MODERN PHYSICS LETTERS B, 2019, 33 (35):
  • [7] Bifurcations and traveling wave solutions for a fourth-order integrable nonlinear Schrodinger equation
    Liu, Minghuan
    Zheng, Yuanguang
    OPTIK, 2022, 255
  • [8] A fourth-order explicit schemes for the coupled nonlinear Schrodinger equation
    Ismail, M. S.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (01) : 273 - 284
  • [9] Global existence of solutions for a fourth-order nonlinear Schrodinger equation
    Guo, Cuihua
    Cui, Shangbin
    APPLIED MATHEMATICS LETTERS, 2006, 19 (08) : 706 - 711
  • [10] Characteristics of Breather Solutions in the Fourth-Order Nonlinear Schrodinger Equation
    Du Zhifeng
    Song Lijun
    Wang Yan
    ACTA OPTICA SINICA, 2018, 38 (09)
12345