The coupled derivative nonlinear Schrodinger equation: conservation laws, modulation instability and semirational solutions

被引:15
作者
Xu, Tao [1 ]
He, Guoliang [1 ]
机构
[1] Zhengzhou Univ Light Ind, Sch Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
The coupled derivative nonlinear Schrodinger equation; Darboux transformation; Conservation laws; Modulation instability; Semirational solutions; SEMI-RATIONAL SOLUTIONS; ROGUE WAVES; DARBOUX TRANSFORMATION; PARALLEL;
D O I
10.1007/s11071-020-05679-3
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
For exploring the coupled derivative nonlinear Schrodinger (DNLS) equation more systematically, we give the infinitely many conservation laws of it. Then, the modulation instability of the plane wave solutions for the coupled system is discussed. The higher-order semirational solutions, which can be completely classified as three types, for the coupled DNLS equation are constructed by utilizing the particular vector solutions of the Lax pair and the Darboux transformation.
引用
收藏
页码:2823 / 2837
页数:15
相关论文
共 46 条
  • [1] Baseband modulation instability as the origin of rogue waves
    Baronio, Fabio
    Chen, Shihua
    Grelu, Philippe
    Wabnitz, Stefan
    Conforti, Matteo
    [J]. PHYSICAL REVIEW A, 2015, 91 (03):
  • [2] Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime
    Baronio, Fabio
    Conforti, Matteo
    Degasperis, Antonio
    Lombardo, Sara
    Onorato, Miguel
    Wabnitz, Stefan
    [J]. PHYSICAL REVIEW LETTERS, 2014, 113 (03)
  • [3] Rogue Waves Emerging from the Resonant Interaction of Three Waves
    Baronio, Fabio
    Conforti, Matteo
    Degasperis, Antonio
    Lombardo, Sara
    [J]. PHYSICAL REVIEW LETTERS, 2013, 111 (11)
  • [4] Solutions of the Vector Nonlinear Schrodinger Equations: Evidence for Deterministic Rogue Waves
    Baronio, Fabio
    Degasperis, Antonio
    Conforti, Matteo
    Wabnitz, Stefan
    [J]. PHYSICAL REVIEW LETTERS, 2012, 109 (04)
  • [5] Matter rogue waves
    Bludov, Yu. V.
    Konotop, V. V.
    Akhmediev, N.
    [J]. PHYSICAL REVIEW A, 2009, 80 (03):
  • [6] Semi-rational solutions for the (2+1)-dimensional nonlocal Fokas system
    Cao, Yulei
    Rao, Jiguang
    Mihalache, Dumitru
    He, Jingsong
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 80 : 27 - 34
  • [7] Rogue waves for a system of coupled derivative nonlinear Schrodinger equations
    Chan, H. N.
    Malomed, B. A.
    Chow, K. W.
    Ding, E.
    [J]. PHYSICAL REVIEW E, 2016, 93 (01)
  • [8] Backlund transformation and soliton-cnoidal wave interaction solution for the coupled Klein-Gordon equations
    Chen, Junchao
    Wu, Huiling
    Zhu, Quanyong
    [J]. NONLINEAR DYNAMICS, 2018, 91 (03) : 1949 - 1961
  • [9] General Mixed Multi-Soliton Solutions to One-Dimensional Multicomponent Yajima-Oikawa System
    Chen, Junchao
    Chen, Yong
    Feng, Bao-Feng
    Maruno, Ken-ichi
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2015, 84 (07)
  • [10] Complementary optical rogue waves in parametric three-wave mixing
    Chen, Shihua
    Cai, Xian-Ming
    Grelu, Philippe
    Soto-Crespo, J. M.
    Wabnitz, Stefan
    Baronio, Fabio
    [J]. OPTICS EXPRESS, 2016, 24 (06): : 5886 - 5895