Backlund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrodinger equation

被引:14
|
作者
Yang, Yunqing [1 ,2 ,3 ]
Suzuki, Takashi [2 ]
Wang, Jianyong [4 ]
机构
[1] Zhejiang Ocean Univ, Sch Informat Engn, Zhoushan 316022, Peoples R China
[2] Osaka Univ, Ctr Math Modeling & Data Sci, Osaka 5608531, Japan
[3] Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Peoples R China
[4] Quzhou Univ, Dept Math & Phys, Quzhou 324000, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlocal defocusing coupled nonlinear; Schrodinger equation; Lax pair; Backlund transformation; Soliton; Rational solution; DARBOUX TRANSFORMATION;
D O I
10.1016/j.cnsns.2020.105626
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The nonlocal integrable defocusing coupled nonlinear Schrodinger system from a 3x3 spectral problem is investigated. The Backlund transformation of the nonlocal defocusing coupled nonlinear Schrodinger system is presented from the pseudopotentials derived from the Lax pair. The nonsingular localized wave solutions including the breather wave and exponential-rational solutions are obtained, whose evolutions and dynamical properties are discussed. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:11
相关论文
共 50 条
  • [41] Localized solutions of extended discrete nonlinear Schrodinger equation
    Umarov, B. A.
    Bin Ismail, Nazmi Hakim
    Hadi, Muhammad Salihi Abdul
    Hassan, T. H.
    [J]. 1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017), 2017, 890
  • [42] Localized nodal solutions for a critical nonlinear Schrodinger equation
    Chen, Shaowei
    Liu, Jiaquan
    Wang, Zhi-Qiang
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 277 (02) : 594 - 640
  • [43] Traveling wave solutions of the nonlinear Schrodinger equation
    Akbari-Moghanjoughi, M.
    [J]. PHYSICS OF PLASMAS, 2017, 24 (10)
  • [44] Bounded ultra-elliptic solutions of the defocusing nonlinear Schrodinger equation
    Wright, Otis C., III
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2017, 360 : 1 - 16
  • [45] Bilinear Backlund transformation and explicit solutions for a nonlinear evolution equation
    Wu Yong-Qi
    [J]. CHINESE PHYSICS B, 2010, 19 (04)
  • [46] Soliton solutions and Backlund transformation for the generalized inhomogeneous coupled nonlinear Schrodinger equations via symbolic computation
    Wang, Pan
    Tian, Bo
    Liu, Wen-Jun
    Liu, Ying
    Qu, Qi-Xing
    [J]. PHYSICA SCRIPTA, 2009, 80 (06)
  • [47] Backlund transformation, nonlinear superposition formula and solutions of the Calogero equation
    Yong, Xuelin
    Zhang, Zhiyong
    Chen, Yufu
    [J]. PHYSICS LETTERS A, 2008, 372 (41) : 6273 - 6279
  • [48] ON THE STANDING WAVE SOLUTIONS TO A NONLOCAL, NONLINEAR SCHRODINGER-EQUATION OCCURRING IN PLASMA PHYSICS
    COLIN, T
    [J]. PHYSICA D, 1993, 64 (1-3): : 215 - 236
  • [49] INVARIANT MEASURES FOR THE DEFOCUSING NONLINEAR SCHRODINGER EQUATION
    Tzvetkov, Nikolay
    [J]. ANNALES DE L INSTITUT FOURIER, 2008, 58 (07) : 2543 - 2604
  • [50] The classification of single traveling wave solutions for the fractional coupled nonlinear Schrodinger equation
    Tang, Lu
    Chen, Shanpeng
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (02)