Higher-order mixed solution and breather solution on a periodic background for the Kundu equation

被引：6
|
作者：
Shi, Wei
Zhaqilao [1 ]
机构：
[1] Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 119卷
基金：
中国国家自然科学基金;
关键词：
Kundu equation; Generalized Darboux transformation; Higher-order rational solution; Periodic background; SELF-PHASE MODULATION; DE-VRIES EQUATION; DARBOUX TRANSFORMATION; MULTIPLE COLLISIONS; HAMILTONIAN-SYSTEMS; ROGUE WAVE; INSTABILITY; INTEGRABILITY; PULSES;
D O I：
10.1016/j.cnsns.2023.107134
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the generalized Darboux transformation (GDT) method and the Taylor expansion to construct solutions for the Kundu equation including the multiple breather solution on a periodic background and the mixed solutions of multiple soliton and multiple breather solution. Starting from the Lax pair under the framework of Kaup- Newell (KN) system, we obtain an odd-fold Darboux transformation. Then by means of the Taylor expansion, the odd-fold GDT is obtained in the form of determinants. By selecting different parameters in the determinants, we find various solutions. Modulation instability (MI) for the Kundu equation is also studied as a small aspect. (c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects
    Qi, Linming
    Liu, Lu
    Zhao, Weiliang
    CHAOS SOLITONS & FRACTALS, 2024, 182
  • [22] General Higher-Order Breather and Hybrid Solutions of the Fokas System
    Chen, Ting-Ting
    Hu, Peng-Yan
    He, Jing-Song
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (05) : 496 - 508
  • [23] DARBOUX TRANSFORMATIONS, MULTISOLITONS, BREATHER AND ROGUE WAVE SOLUTIONS FOR A HIGHER-ORDER DISPERSIVE NONLINEAR SCHRODINGER EQUATION
    Zhang, Hong-Yi
    Zhang, Yu-Feng
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (02): : 892 - 902
  • [24] Interactional solutions of the extended nonlinear Schrodinger equation with higher-order operators
    Lou, Yu
    Zhang, Yi
    Ye, Rusuo
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (10) : 1989 - 2000
  • [25] Dynamics of the breathers and rogue waves in the higher-order nonlinear Schrodinger equation
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    Dong, Min-Jie
    APPLIED MATHEMATICS LETTERS, 2018, 86 : 298 - 304
  • [26] Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients
    Vithya, Angelin
    Rajan, M. S. Mani
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2020, 5 (03) : 205 - 213
  • [27] Dynamics analysis of higher-order soliton solutions for the coupled mixed derivative nonlinear Schrodinger equation
    Song, Ni
    Lei, Yuxiang
    Cao, Dongxing
    ACTA MECHANICA SINICA, 2022, 38 (05)
  • [28] The quasi-Gramian solution of a non-commutative extension of the higher-order nonlinear Schrödinger equation
    Riaz, H. W. A.
    Lin, J.
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2024, 76 (03)
  • [29] N-soliton solution for a higher-order Chen-Lee-Liu equation with nonzero boundary conditions
    Zhao, Yi
    Fan, Engui
    MODERN PHYSICS LETTERS B, 2020, 34 (04):
  • [30] Soliton solution, breather solution and rational wave solution for the coupled macroscopic fluctuation theory equation in the optimal of the
    Li, Li
    Fan, Chengcheng
    Yu, Fajun
    WAVE MOTION, 2024, 128
12345