The KdV equation and motion of plane curves

被引：57

作者：

Chou, KS ^{[1
]}

Qu, CZ

机构：

[1] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2001年 / 70卷 / 07期

关键词：

motion of plane curve; special linear geometry; integrable equation; KdV equation; traveling wave;

D O I：

10.1143/JPSJ.70.1912

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the KdV, Harry Dym, Sawada-Kotera hierarchies and the Kaup-Kupershmidt equation naturally arise from the motions of plane curves in special linear geometry SL(2). Motions of the curves corresponding to traveling waves as well as one- and two-solitons are investigated.

引用

页码：1912 / 1916

页数：5

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