Motions of curves in similarity geometries and Burgers-mKdV hierarchies
Motions of curves in similarity geometries and Burgers-mKdV hierarchies
复制标题
相似几何形状和 Burgers-mKdV 层次结构中的曲线运动
DOI：
10.1016/s0960-0779(03)00060-2
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发表时间：
2004
影响因子：
7.8
通讯作者：
C. Qu
中科院分区：
文献类型：
--
作者：
K. Chou;C. Qu
确定了相似几何中曲线在不可展运动下的曲率所满足的可积系统。证明了二维、三维和n维（n>3）相似几何中曲线的运动分别由Burgers族、Burgers-mKdV族及其多分量推广来描述.
Integrable systems satisfied by the curvatures of curves under inextensible motions in similarity geometries are identified. It is shown that motions of curves in two-, three- and n-dimensional (n>3) similarity geometries are described respectively by the Burgers hierarchy, Burgers-mKdV hierarchy and a multi-component generalizations of these hierarchies.