MOTION OF CURVES IN THE PLANE

被引：46
作者：
NAKAYAMA, K
WADATI, M
机构：
[1] Department of Physics, Faculty of Science, University of Tokyo, Tokyo 113
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1993年 / 62卷 / 02期
关键词：
D O I：
10.1143/JPSJ.62.473
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Kinematics of moving curves in two dimensions is formulated in terms of intrinsic geometries. The velocity is assumed to be local in the sense that it is a functional of the curvature and its derivatives. The modified Korteweg-de Vries (mKdV) equation and its hierarchy are included in the theory when the normal velocity obeys a recursion relation. Curves corresponding to solutions of the mKdV equation are explicitly constructed.
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页码：473 / 479
页数：7
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