Integrable motions of space curves in affine geometry

被引：43
|
作者：
Chou, KS [1 ]
Qu, CZ
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2002年 / 14卷 / 01期
关键词：
D O I：
10.1016/S0960-0779(01)00179-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that many well-known integrable equations such as the KdV, Harry Dym, Sawada-Kotera hierarchies and the Kaup Kupershmidt, Boussinesq, Tzitzeica, Hirota-Satsuma equations naturally arise from motions of space curves in affine and centro-affine geometries. The motions of curves corresponding to travelling waves of the KdV and Sawada-Kotera equations are constructed explicitly. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：29 / 44
页数：16
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