Higher-dimensional integrable systems induced by motions of curves in affine geometries

被引：4
|
作者：
Li Yan-Yan [1 ,2 ]
Qu Chang-Zheng [1 ,2 ]
机构：
[1] NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China
[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2008年 / 25卷 / 06期
关键词：
D O I：
10.1088/0256-307X/25/6/003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss the motions of curves by introducing an extra spatial variable or equivalently, moving surfaces in a. ne geometries. It is shown that the 2 + 1-dimensional breaking soliton equation and a 2 + 1-dimensional nonlinear evolution equation regarded as a generalization to the 1 + 1-dimensional KdV equation arise from such motions.
引用
收藏
页码：1931 / 1934
页数：4
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