BI-HAMILTONIAN FORMULATION OF THE HENON HEILES SYSTEM AND ITS MULTIDIMENSIONAL EXTENSIONS

被引：33

作者：

ANTONOWICZ, M ^{[1
]}

RAUCHWOJCIECHOWSKI, S ^{[1
]}

机构：

[1] LINKOPING UNIV,DEPT MATH,S-58183 LINKOPING,SWEDEN

来源：

PHYSICS LETTERS A | 1992年 / 163卷 / 03期

关键词：

D O I：

10.1016/0375-9601(92)90402-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that a (slightly) generalized Henon-Heiles system is equivalent to a fifth order Hamiltonian evolution equation with a third order Hamiltonian operator. This equivalence makes it possible to use the machinery of restricted flows of soliton hierarchies in order to (a) find natural extensions of integrable cases of the Henon-Heiles system, and (b) determine (in the KdV case) a bi-Hamiltonian formulation for the (extended) Henon-Heiles system and prove its complete integrability.

引用

页码：167 / 172

页数：6

共 11 条

[1] CONSTRAINED FLOWS OF INTEGRABLE PDES AND BI-HAMILTONIAN STRUCTURE OF THE GARNIER SYSTEM [J].