Integrable Curve Motions in n-Dimensional Centro-Affine Geometries

作     者：李艳艳 LI Yan-Yan

作者机构：Institute of Mathematics and Information Science Xianyang Normal University Xianyang 712000 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2010年第27卷第3期

页      面：5-8页

核心收录：

学科分类：07[理学] 08[工学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 070101[理学-基础数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10671156  and the Program of Xianyang Normal University (08XSYK334) 

主　　题：Mathematical physics Statistical physics and nonlinear systems 

摘      要：Motions of curves in n-dimensional （n ≥ 4） centro-affine geometries are studied. It is shown that the 1＋1-dimensional KdV equations and their hierarchy satisfied by the curvatures of curves under inextensible motions arise from such motions.