D-AKNS族的换位表示  

Commutator Representation of D-AKNS Hierarchy

作　　者：乔志军[1] 

机构地区：[1]辽宁大学数学系,沈阳110036

出　　处：《应用数学》1991年第4期64-70,共7页Mathematica Applicata

基　　金：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.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.

关 键 词：D-AKNS族 Lenard算子对 换位表示 

分 类 号：O175[理学—数学]