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
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