A semidiscrete Gardner equation

被引:2
|
作者
Zhao, Haiqiong [1 ]
Zhu, Zuonong [2 ]
机构
[1] Shanghai Univ Int Business & Econ, Business Informat Management Sch, Shanghai 201620, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
基金
中国国家自然科学基金;
关键词
Semidiscrete Gardner equation; Darboux transformation; exact solution; DE-VRIES EQUATION; DIFFERENTIAL-DIFFERENCE EQUATIONS; MULTIPLE COLLISIONS; NONLINEAR LATTICE; WAVE-PROPAGATION; FOURIER-ANALYSIS; SOLITONS; TRANSFORMATION;
D O I
10.1007/s11464-013-0309-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct the Darboux transformations, exact solutions, and infinite number of conservation laws for a semidiscrete Gardner equation. A special class of solutions of the semidiscrete equation, called table-top solitons, are given. The dynamical properties of these solutions are also discussed.
引用
收藏
页码:1099 / 1115
页数:17
相关论文
共 50 条
  • [31] A study of shallow water waves with Gardner's equation
    Krishnan, E. V.
    Triki, Houria
    Labidi, Manel
    Biswas, Anjan
    NONLINEAR DYNAMICS, 2011, 66 (04) : 497 - 507
  • [32] Exact Traveling Wave Solution For The General Gardner Equation
    Feng, Qinghua
    Zheng, Bin
    PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS: RECENT ADVANCES IN APPLIED MATHEMATICS, 2009, : 421 - +
  • [33] Traveling Wave Solutions of the Gardner Equation and Motion of Plane Curves Governed by the mKdV Flow
    Vassilev, V. M.
    Djondjorov, P. A.
    Hadzhilazova, M. Ts.
    Mladenov, I. M.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 3RD INTERNATIONAL CONFERENCE - AMITANS'11, 2011, 1404
  • [34] MULTIPARAMETRIC SOLUTIONS TO THE GARDNER EQUATION AND THE DEGENERATE RATIONAL CASE
    Gaillard, Pierre
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (04): : 2102 - 2113
  • [35] Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients
    Hu, Wen-Qiang
    Gao, Yi-Tian
    Lan, Zhong-Zhou
    Su, Chuan-Qi
    Feng, Yu-Jie
    APPLIED MATHEMATICAL MODELLING, 2017, 46 : 126 - 140
  • [37] Explicit solutions for a semidiscrete Boussinesq system
    Zhou, Tong
    Zhu, Zuo-nong
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 121 - 132
  • [38] High accuracy numerical methods for the Gardner-Ostrovsky equation
    Obregon, M. A.
    Sanmiguel-Rojas, E.
    Fernandez-Feria, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 240 : 140 - 148
  • [39] Theoretical and numerical investigations on solitary wave solutions of Gardner equation
    Ak, Turgut
    Triki, Houria
    Dhawan, Sharanjeet
    Erduran, Kutsi S.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (09):
  • [40] Integrable decompositions for the (2+1)-dimensional Gardner equation
    Tao Xu
    Bo Tian
    Hai-Qiang Zhang
    Juan Li
    Zeitschrift für angewandte Mathematik und Physik, 2010, 61 : 293 - 308