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Acta Mathematica Sinica

, Volume 16, Issue 3, pp 527–534 | Cite as

A Hierarchy of Multidimensional Hénon-Heiles Systems

  • Yunbo ZengEmail author
ORIGINAL ARTICLES

Abstract

A hierarchy of multidimensional Hénon-Heiles (M-H-H) systems are constructed via the x- and t n -higher-order-constrained flows of KdV hierarchy. The Lax representation for the M-H-H hierarchy is determined from the adjoint representation of the auxiliary linear problem for the KdV hierarchy. By 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.

Keywords

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

1991 MR Subject Classification

58F07 35Q53 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  1. 1.Department of Mathematical SciencesTsinghua UniversityBejing 100084P. R. China

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