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
收藏
页码：17 / 32
页数：16
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