| 产生有限维可积系统的一个新方法 |
| |
| 引用本文： | 顾勇为.产生有限维可积系统的一个新方法[J].测绘学院学报,2001,18(1):75-78. |
| |
| 作者姓名： | 顾勇为 |
| |
| 作者单位： | 信息工程大学基础部!河南郑州450052 |
| |
| 摘 要： | 通过对一族耦合非线性扩散议程及基相关的特征问题的研究，证明了此特征问题的解空间与对应的非线性Lenard特征值问题的空间是微分同胚的，文吲入的次Lenard算子对，拓展了非线性化方法的应用范围。
|
| 关 键 词： | 特征值 次Lenard算子对 微分同胚 可积系统 耦合非线性扩散方程 解空间 |
New Approach to Generation of Finite Dimensional Integrable Systems |
| |
| GU Yong,wei.New Approach to Generation of Finite Dimensional Integrable Systems[J].Journal of Institute of Surveying and Mapping,2001,18(1):75-78. |
| |
| Authors: | GU Yong wei |
| |
| Abstract: | In this paper, through the study to the hierarchy of coupled nonlinear evolution equations, and its related eigenvalue problem, it is proved that the solution space to the eigenvalue problem and the solution space to the Lenard eigenvalue problem are differentiable homeomorphism. The use of coupled vice Lenard operator enlarges the scope of the application to the nonlinearity method. |
| |
| Keywords: | eigenvalue problem coupled vice Lenard operator differantiable homeomorphism integrable system |
| 本文献已被 CNKI 维普 等数据库收录！ |
