A Hierarchy of Multidimensional Hénon-Heiles Systems

被引：0
|
作者：
Yunbo Zeng
机构：
[1] Tsinghua University,Department of Mathematical Sciences
来源：
Acta Mathematica Sinica | 2000年 / 16卷
关键词：
Higher-order constrained flow; Multidimensional Hénon-Heiles systems; Lax representation; Jacobi inversion problem; 58F07; 35Q53;
D O I：
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学科分类号：
摘要：
A hierarchy of multidimensional Hénon-Heiles (M-H-H) systems are constructed via the x- and tn-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.
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页码：527 / 534
页数：7
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