Multiple Hamiltonian structures and Lax pairs for Bogoyavlensky-Volterra systems

被引：3
|
作者：
Kouzaris, SP [1 ]
机构：
[1] Univ Cyprus, Dept Math & Stat, Nicosia, Cyprus
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2003年 / 10卷 / 04期
关键词：
D O I：
10.2991/jnmp.2003.10.4.2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Results on the Volterra model which is associated to the simple Lie algebra of type A,, are extended to the Bogoyavlensky-Volterra systems of type B-n, C-n and D-n. In particular we find Lax pairs, Hamiltonian and Casimir functions and multi-Hamiltonian structures. Moreover, we investigate recursion operators, higher Poisson brackets and master symmetries.
引用
收藏
页码：431 / 450
页数：20
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