New rational and breather solutions of a higher-order integrable nonlinear Schrodinger equation

被引：22
|
作者：
Ma, Li-Yuan [1 ]
Zhang, Yan-Li [1 ]
Tang, Li [1 ]
Shen, Shou-Feng [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 122卷
基金：
中国国家自然科学基金;
关键词：
Higher-order NLS equation; Rational solutions; Breather solution; Interaction properties; WAVE SOLUTIONS; SOLITON;
D O I：
10.1016/j.aml.2021.107539
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter, we investigate the general rational solutions and breather solutions of a higher-order integrable nonlinear Schrodinger (NLS) equation based on Darboux transformation (DT). The rational solutions including W-shape traveling wave solution that is not reported and rogue wave solution are constructed. Time-periodic Kuznetsov-Ma breather, space-periodic Akhmediev breather and time-space periodic breather solutions are obtained. Besides, the interaction properties of two breather solutions are also displayed through numerical simulation. The results exhibit the new dynamical properties in extended nonlinear integrable physical models. (C) 2021 Published by Elsevier Ltd,
引用
收藏
页数：6
相关论文
共 50 条
  • [21] 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
  • [22] SELF-SIMILAR SOLUTIONS FOR A GENERALIZED NONLINEAR SCHRODINGER EQUATION WITH HIGHER-ORDER VARYING DISPERSIONS AND NONLINEARITIES
    Hao, Wen-Xuan
    Wang, Yan
    Li, Lu
    ROMANIAN REPORTS IN PHYSICS, 2021, 73 (04)
  • [23] Inverse scattering approach to coupled higher-order nonlinear Schrodinger equation and N-soliton solutions
    Nandy, S
    NUCLEAR PHYSICS B, 2004, 679 (03) : 647 - 659
  • [24] Breather and rogue wave solutions of a generalized nonlinear Schrodinger equation
    Wang, L. H.
    Porsezian, K.
    He, J. S.
    PHYSICAL REVIEW E, 2013, 87 (05):
  • [25] Breather Solutions and Their Rouge Wave Limits of Nonlinear Schrodinger Equation
    Du Zhifeng
    Song Lijun
    Wang Yan
    LASER & OPTOELECTRONICS PROGRESS, 2019, 56 (05)
  • [26] Optical solitons of a time-fractional higher-order nonlinear Schrodinger equation
    Fang, Jia-Jie
    Dai, Chao-Qing
    OPTIK, 2020, 209
  • [27] Higher-order soliton, rogue wave and breather solutions of a generalized Fokas-Lenells equation
    Wei, Jiao
    Li, Jiajia
    Jia, Minxin
    Wang, Xin
    CHAOS SOLITONS & FRACTALS, 2025, 195
  • [28] 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
  • [29] Transition of the breather wave of six-order nonlinear Schrodinger equation
    Zhou, Xin-Mei
    Zhang, Tian-Tian
    Zhu, Chenghao
    Chen, Yi-Ren
    APPLIED MATHEMATICS LETTERS, 2022, 131
  • [30] HIGHER-ORDER RATIONAL SOLUTIONS FOR THE (2+1)-DIMENSIONAL KMN EQUATION
    Wen, Xiaoyong
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2017, 18 (03): : 191 - 198
12345