A Hierarchy of Multidimensional Hénon-Heiles Systems

作     者：Yunbo Zeng Department of Mathematical Sciences,Tsinghua University,Beijing 100084 P.R.China 

作者机构：Department of Mathematical Sciences Tsinghua University Bejing 100084 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2000年第16卷第3期

页      面：527-534页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Research Project "Nonlinear Sciences" 

主　　题：Higher-order constrained flow Multidimensional Hénon-Heiles systems Lax representation Jacobi inversion problem 

摘      要：A hierarchy of multidimensional Hénon-Heiles(M-H-H)systems are constructed via the x-and t_n-higher-order-constrained flows of KdV *** Lax representation for the M-H-H hierarchy is determined from the adjoint representation of the auxiliary linear problem for the KdV *** using the Lax representation the classical Poisson structure and r-matrix for the hierarchy are found and the Jacobi inversion problem for the hierarchy is constructed.