Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation

被引：109

作者：

Zhao, PF

Qin, MZ

机构：

[1] CCAST, World Lab, Beijing 100080, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 18期

关键词：

D O I：

10.1088/0305-4470/33/18/308

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The multisymplectic structure of the KdV equation is presented directly from the variational principle. From the numerical view point, we give a multisymplectic twelve-points scheme which is equivalent to the multisymplectic Preissmann scheme. Finally, we test the twelve-points scheme on solitary waves over long time intervals.

引用

页码：3613 / 3626

页数：14

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