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.
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页码：1912 / 1916
页数：5
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