| D—AKNS族的换位表示 |
| |
| 引用本文： | 乔志军.D—AKNS族的换位表示[J].应用数学,1991,4(4):64-70. |
| |
| 作者姓名： | 乔志军 |
| |
| 作者单位： | 辽宁大学数学系 沈阳 |
| |
| 基金项目： | 辽宁省教委青年科研基金 |
| |
| 摘 要： | 本文根据曹策问教授的想法,求得了与D-AKNS族发展方程相联系的特征值之泛函梯度与Lenard算子对;并由此得到了D-AKNS族非线性发展方程的换位表示。文末还讨论了换位表示与定态D-AKNS方程之间的关系.
|
| 关 键 词： | D AKNS族 Lenard算子对 换位表示 |
Commutator Representation of D-AKNS Hierarchy |
| |
| Qiao Zhijun.Commutator Representation of D-AKNS Hierarchy[J].Mathematica Applicata,1991,4(4):64-70. |
| |
| Authors: | Qiao Zhijun |
| |
| Institution: | Department of Math. Liaoning Univ. 110036 |
| |
| Abstract: | According to professor Cao Cewen's thought 1-2]. in this paper we present the functional gradient of eigenvalue and the pair of Lenard's operators which are related to D-AKNS evolution equations. Furthermore, commutator representation of nonlinear D-AKNS evolution equations is obtained. In the end of this paper, we discuss the relation between commutator representation and stationary D-AKNS equations. |
| |
| Keywords: | D-AKNS hierarchy Lenard's operators Commutator representation |
| 本文献已被 CNKI 维普 等数据库收录！ |
