Breather–breather interactions, rational and semi-rational solutions of an integrable spin system in optical fibers

被引：0
|
作者：
Liu, Qin-Ling [1 ]
Zhao, Yan-Nan [2 ]
Hao, Hui-Qin [1 ]
机构：
[1] School of Mathematics, Taiyuan University of Technology, Taiyuan,030024, China
[2] College of Computer and Information Engineering, Shanxi Technology and Business University, Taiyuan,030006, China
来源：
Optik | 2024年 / 316卷
关键词：
Ferromagnetism - Spin dynamics - Spin waves;
D O I：
10.1016/j.ijleo.2024.172064
中图分类号：
学科分类号：
摘要：
This paper investigates an integrable spin system (or Heisenberg ferromagnet-type equation or Nurshuak-IIA equation) which is an integrable generalization of the Heisenberg ferromagnet equation that raises from magneto-optical devices. The N-fold Darboux transformation of the Nurshuak-IIA equation will be constructed. With the selection of several parameters, a variety of the solutions will be produced, including breather–breather interactions, higher-order rogue waves and semi-rational solutions. © 2024 Elsevier GmbH
引用
收藏
相关论文
共 50 条
  • [1] Two (2+1)-dimensional integrable nonlocal nonlinear Schrodinger equations: Breather, rational and semi-rational solutions
    Cao, Yulei
    Malomed, Boris A.
    He, Jingsong
    CHAOS SOLITONS & FRACTALS, 2018, 114 : 99 - 107
  • [2] The breather and semi-rational rogue wave solutions for the coupled mixed derivative nonlinear Schrodinger equations
    Jin, Jie
    Zhang, Yi
    Ye, Rusuo
    Wu, Lifei
    NONLINEAR DYNAMICS, 2023, 111 (01) : 633 - 643
  • [3] The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System
    Wang, Chuanjian
    Dai, Zhengde
    Liu, Changfu
    ADVANCES IN MATHEMATICAL PHYSICS, 2015, 2015
  • [4] The breather and semi-rational rogue wave solutions for the coupled mixed derivative nonlinear Schrödinger equations
    Jie Jin
    Yi Zhang
    Rusuo Ye
    Lifei Wu
    Nonlinear Dynamics, 2023, 111 : 633 - 643
  • [5] The rational and semi-rational solutions to the Hirota Maccari system
    Rui Wang
    Yi Zhang
    Xiao-tong Chen
    Ru-suo Ye
    Nonlinear Dynamics, 2020, 100 : 2767 - 2778
  • [6] The rational and semi-rational solutions to the Hirota Maccari system
    Wang, Rui
    Zhang, Yi
    Chen, Xiao-tong
    Ye, Ru-suo
    NONLINEAR DYNAMICS, 2020, 100 (03) : 2767 - 2778
  • [7] Rational and Semi-Rational Solutions to the (2
    Zhang, Yong
    Dong, Huan-He
    Fang, Yong
    AXIOMS, 2022, 11 (09)
  • [8] New rational and breather solutions of a higher-order integrable nonlinear Schrodinger equation
    Ma, Li-Yuan
    Zhang, Yan-Li
    Tang, Li
    Shen, Shou-Feng
    APPLIED MATHEMATICS LETTERS, 2021, 122
  • [9] Rational and semi-rational solutions of the Kadomtsev-Petviashvili-based system
    Zhang, Yongshuai
    Rao, Jiguang
    Porsezian, K.
    He, Jingsong
    NONLINEAR DYNAMICS, 2019, 95 (02) : 1133 - 1146
  • [10] Rational and semi-rational solutions of the Kadomtsev–Petviashvili-based system
    Yongshuai Zhang
    Jiguang Rao
    K. Porsezian
    Jingsong He
    Nonlinear Dynamics, 2019, 95 : 1133 - 1146
12345