Complex version KdV equation and the periods solution

被引:11
|
作者
Yang, L [1 ]
Yang, KQ [1 ]
Luo, HG [1 ]
机构
[1] Lanzhou Univ, Dept Phys, Lanzhou 730000, Gansu, Peoples R China
关键词
D O I
10.1016/S0375-9601(00)00128-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, the complex version of the KdV equation is discussed. The corresponding coupled equations are an integrable system in the sense of the bi-Hamiltonian structure, so the complex version KdV equation is integrable. A new spectral form is given and the periodic solution of the complex KdV equation is obtained. It is showed that the periodic solution is the classical solution. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:331 / 334
页数:4
相关论文
共 50 条
  • [1] The Whitham Modulation Solution of the Complex Modified KdV Equation
    Zeng, Shijie
    Liu, Yaqing
    MATHEMATICS, 2023, 11 (13)
  • [2] Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation
    Fan, EG
    Chao, L
    PHYSICS LETTERS A, 2001, 285 (5-6) : 373 - 376
  • [3] A complex travelling wave solution to the KdV-Burgers equation
    Demiray, H
    PHYSICS LETTERS A, 2005, 344 (06) : 418 - 422
  • [4] Indeterminate equation and the soliton solution of KdV equation
    Pan, ZL
    Zhu, JX
    Zheng, KJ
    3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 843 - 847
  • [5] A solution of an operator equation related to the KdV equation
    Garimella, Ramesh V.
    Hrynkiv, Volodymyr
    Sourour, A. R.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 418 (2-3) : 788 - 792
  • [6] Solution of KdV equation by computer algebra
    Ping, H
    Zheng, C
    Jun, F
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) : 511 - 515
  • [7] The Rational Solution of Supersymmetric KdV Equation
    Mirza, A.
    Haider, B.
    INTERNATIONAL SYMPOSIUM ON CURRENT PROGRESS IN MATHEMATICS AND SCIENCES 2016 (ISCPMS 2016), 2017, 1862
  • [8] The solution to the q-KdV equation
    Adler, M.
    Horozov, E.
    Van Moerbeke, P.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1998, 242 (03): : 139 - 151
  • [9] Uniqueness of weak solution of the KdV equation
    Zhou, Y
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1997, 1997 (06) : 271 - 283
  • [10] NUMERICAL-SOLUTION OF KDV EQUATION
    KUO, PY
    WU, HM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 82 (02) : 334 - 345