Integrable System and Motion of Curves in Projective and Similarity Geometries

被引：0
|
作者：
HOU Yu-Qing Department of Electronics
机构：
来源：
Communications in Theoretical Physics | 2006年 / 45卷 / 01期
关键词：
motion of curve; similarity geometry; projective geometry; integrable equation;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法]; O175.29 [非线性偏微分方程];
学科分类号：
0701 ; 070104 ;
摘要：
Based on the natural frame in the projective geometry,motions of curves in projective geometry are studied.It is shown that several integrable equations including Sawada-Kotera and KK equations arise from motion of planecurves in projective geometries.Motion of space curves described by acceleration field and governed by endowing anextra space variable in similarity geometry p;is also studied.
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页码：45 / 48
页数：4
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