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.

引用

页码：45 / 48

页数：4

共 44 条

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