MULTIPLE HAMILTONIAN STRUCTURES FOR TODA SYSTEMS OF TYPE A-B-C

被引：16

作者：

Damianou, P. A. ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, Nicosia, Cyprus

来源：

REGULAR & CHAOTIC DYNAMICS | 2000年 / 5卷 / 01期

关键词：

D O I：

10.1070/RD2000v005n01ABEH000121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Results on the finite nonperiodic A(n) Toda lattice are extended to the Bogoyavlensky - Toda systems of type B-n and C-n. The investigated areas include master symmetries, recursion operators, higher Poisson brackets and invariants. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.

引用

页码：17 / 32

页数：16

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