郑州大学学报（理学版）2005，Vol.37Issue(3)：1-6,6.
双非线性化Toda特征值问题的Lie-Poisson结构
Lie-Poisson Structure for the Binary Nonlinearized Toda Spectral Problem
摘要
Abstract
Hamiltonian symmetry group (R＞0)N generated through a family of conserved integrals is proposed. Themethod of invariants is used to reduce the binary nonlinearized Toda spectral problem on R4N into a 3 × 3 nonlinearized spectral problem with a Lie-Poisson structure on R4N/(R＞0)N. Furthermore, it is shown that the 3 × 3 one restricted on the common level set of cones is a usual 2 × 2 mono-nonlinearized spectral problem.关键词
约化/Lie-Poisson结构/辛映射/Poisson映射Key words
reduction/Lie-Poisson structure/symplectic map/Poisson map分类
数理科学引用本文复制引用
杜殿楼,郝艳红..双非线性化Toda特征值问题的Lie-Poisson结构[J].郑州大学学报（理学版）,2005,37(3):1-6,6.基金项目
国家自然科学基金资助项目,编号10471132 （）
河南省教育厅自然科学基金资助项目,编号 2004110006. （）
