产生有限维可积系统的一个新方法  

New Approach to Generation of Finite Dimensional Integrable Systems

作　　者：顾勇为[1] 

机构地区：[1]信息工程大学基础部,河南郑州450052

出　　处：《测绘学院学报》2001年第1期75-78,共4页Journal of Institute of Surveying and Mapping

摘　　要：通过对一族耦合非线性扩散方程及其相关的特征值问题的研究 ,证明了此特征问题的解空间与对应的非线性Lenard特征值问题的解空间是微分同胚的 ;文中引入的次Lenard算子对 。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.

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 

分 类 号：O175.29[理学—数学]