Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices

被引：27

作者：

Faybusovich, L ^{[1
]}

Gekhtman, M ^{[1
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

PHYSICS LETTERS A | 2000年 / 272卷 / 04期

关键词：

integrable lattices; compatible Poisson structures;

D O I：

10.1016/S0375-9601(00)00445-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a family of compatible Poisson brackets on the space of rational functions with denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a family of integrable lattice equations that includes both the standard and the relativistic Toda lattices. (C) 2000 Published by Elsevier Science B.V.

引用

页码：236 / 244

页数：9

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