Multi-symplectic methods for the Ito-type coupled KdV equation

被引：19
|
作者：
Chen, Yaming [1 ]
Song, Songhe [1 ]
Zhu, Huajun [2 ]
机构：
[1] Natl Univ Def Technol, Sch Sci, Dept Math & Syst Sci, Changsha 410073, Hunan, Peoples R China
[2] China Aerodynam Res & Dev Ctr, State Key Lab Aerodynam, Mianyang 621000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期
关键词：
Ito-type coupled KdV equation; Multi-symplectic; Fourier pseudospectral method; Wavelet collocation method; RUNGE-KUTTA; INTEGRATORS; SCHEME;
D O I：
10.1016/j.amc.2011.11.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find that the Ito-type coupled KdV equation can be written as a multisymplectic Hamiltonian partial differential equation (PDE). Then, multi-symplectic Fourier pseudospectral method and multi-symlpectic wavelet collocation method are constructed for this equation. In the numerical experiments, we show the effectiveness of the proposed methods. Some comparisons between the proposed methods are also made with respect to global conservation properties. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5552 / 5561
页数：10
相关论文
共 50 条
  • [1] Multi-Symplectic Method for the Logarithmic-KdV Equation
    Zhang, Yu
    Li, Shaohua
    SYMMETRY-BASEL, 2020, 12 (04):
  • [2] A New Multi-Symplectic Scheme for the KdV Equation
    Lv Zhong-Quan
    Xue Mei
    Wang Yu-Shun
    CHINESE PHYSICS LETTERS, 2011, 28 (06)
  • [3] Multi-soliton solutions of Ito-type coupled KdV equation with conservation laws in Darboux framework
    Mahmood, Irfan
    Li, Zhao
    Sohail, Hira
    Ditta, Allah
    Elansary, Hosam O.
    Hussain, Ejaz
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (12)
  • [4] Multi-symplectic method for the coupled Schrodinger-KdV equations
    Zhang Hong
    Song Song-He
    Zhou Wei-En
    Chen Xu-Dong
    CHINESE PHYSICS B, 2014, 23 (08)
  • [5] Multi-symplectic method for the coupled Schrdinger–KdV equations
    张弘
    宋松和
    周炜恩
    陈绪栋
    Chinese Physics B, 2014, 23 (08) : 230 - 236
  • [6] Exact solutions and multi-symplectic structure of the generalized KdV-type equation
    Yang, Xiao-Feng
    Deng, Zi-Chen
    Li, Qing-Jun
    Wei, Yi
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [7] Explicit Multi-symplectic Method for a High Order Wave Equation of KdV Type
    WANG JUN-JIE
    WANG XIU-YING
    CommunicationsinMathematicalResearch, 2018, 34 (03) : 193 - 204
  • [8] Symplectic and multi-symplectic methods for the nonlinear Schrodinger equation
    Chen, JB
    Qin, MZ
    Tang, YF
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (8-9) : 1095 - 1106
  • [9] MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR A HIGHER ORDER WAVE EQUATION OF KDV TYPE
    Wang, Junjie
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2015, 33 (04) : 379 - 395
  • [10] Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrodinger equations
    Zhu, Huajun
    Chen, Yaming
    Song, Songhe
    Hu, Huayu
    APPLIED NUMERICAL MATHEMATICS, 2011, 61 (03) : 308 - 321
12345