一个双非线性化离散特征值问题的约化和Lie-Poisson结构(英文)  

Reduction and Lie-Poisson Structure for the Binary Nonlinearized Discrete Eigenvalue Problem

作　　者：李国富[1] 杜殿楼[2] 郝艳红[2] 

机构地区：[1]郑州师专数学系 [2]郑州大学数学系

出　　处：《河南大学学报（自然科学版）》2006年第2期9-14,共6页Journal of Henan University:Natural Science

基　　金：TheNationalNaturalScienceFoundation(10471132);YouthBackboneTeacherFoundationofHenanProvinceTheNatavalScienceFoundationoftheEducationDepartmentofHenanProvince(2004110006)

摘　　要：通过约化理论,研究了对应于同一离散孤立子方程族的三个离散特征值问题的非线性化特征值问题以及它们之间的关系.Three eigenvalue problems associated with the same isospectral evolution equation are proposed. The corresponding nonlinearized eigenvalue problems and their relations are studied by the reduction procedure.

关 键 词：约化 LIE-POISSON结构 辛映射 Poisson映射 

分 类 号：O175.7[理学—数学]