| Hasimoto曲面的运动及其相应的Spin方程的精确解 |
| |
| 引用本文： | 李翊神,陈春丽.Hasimoto曲面的运动及其相应的Spin方程的精确解[J].中国科学技术大学学报,2000,30(3):253-262. |
| |
| 作者姓名： | 李翊神 陈春丽 |
| |
| 作者单位： | 1. 中国科学技术大学非线性科学中心;中国科学技术大学数学系,合肥,230026
2. 中国科学技术大学非线性科学中心 |
| |
| 基金项目： | ThisworkissupportedbytheChineseNationalBasicResearchProject“NonlinearScience”!(HH4712)，MinistryofEducationofChina!(WJ0146) |
| |
| 摘 要： | 利用测地坐标下的曲面运动与ＡＫＮＳ系统的关系，得到Ｈａｓｉｍｏｔｏ曲面运动的精确解，并引入旋转变量得到一个旋转方程及其精确解。
|
| 关 键 词： | 曲面运动 旋转方程 Spin方程 Hasimoto曲面 |
The Exact Solutions of the Motion of Hasimoto Surface and Its Gauge Equivalent Spin Equation |
| |
| LI Yi-shen,CHEN Chun-li.The Exact Solutions of the Motion of Hasimoto Surface and Its Gauge Equivalent Spin Equation[J].Journal of University of Science and Technology of China,2000,30(3):253-262. |
| |
| Authors: | LI Yi-shen CHEN Chun-li |
| |
| Abstract: | Using
the relation between the motion of surfaces in geodesic coordinates and the AKNS system,
the exact solutions of the motion of Hasimoto surface are calculated. Meanwhile, the spin
variant is introduced and a spin equation is deduced, whose exact solutions are also
obtained. |
| |
| Keywords: | exact solution darboux transformation spin equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
