INTEGRABILITY AND THE MOTION OF CURVES

被引：171

作者：

NAKAYAMA, K ^{[1
]}

SEGUR, H ^{[1
]}

WADATI, M ^{[1
]}

机构：

[1] UNIV COLORADO,PROGRAM APPL MATH,BOULDER,CO 80309

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 69卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.69.2603

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently discovered connections between integrable evolution equations and the motion of curves are based on the following fact: The Serret-Frenet equations are equivalent to the Ablowitz-Kaup-Newell-Segur (AKNS) scattering problem at zero eigenvalue. This equivalence identifies those evolution equations, integrable or not, that can describe the motion of curves.

引用

页码：2603 / 2606

页数：4

共 13 条

[1]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[2] GEOMETRICAL MODELS OF INTERFACE EVOLUTION [J].