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.

引用

页码：473 / 479

页数：7

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