Bogoyavlensky-Toda systems of type DN

被引:9
作者
Damianou, PA [1 ]
Kouzaris, SP [1 ]
机构
[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 05期
关键词
D O I
10.1088/0305-4470/36/5/314
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper we confirm a conjecture of Flaschka which relates the hierarchy of Poisson brackets and master symmetries for the Bogoyavlesky-Toda systems of type D, with fundamental invariants of the corresponding Lie group. The areas investigated include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a, b) and in the natural (q, p) coordinates.
引用
收藏
页码:1385 / 1399
页数:15
相关论文
共 38 条
[1]  
ADLER M, 1979, INVENT MATH, V50, P219
[2]   INTEGRABLE DISCRETIZATIONS OF THE KDV EQUATION [J].
BOGOYAVLENSKY, OI .
PHYSICS LETTERS A, 1988, 134 (01) :34-38
[3]   PERTURBATIONS OF PERIODIC TODA LATTICE [J].
BOGOYAVLENSKY, OI .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 51 (03) :201-209
[4]  
Collingwood David H., 1993, Mathematics series
[5]  
Da Costa JMN, 2001, B SCI MATH, V125, P49
[6]   Master symmetries and bi-Hamiltonian structures for the relativistic Toda lattice [J].
daCosta, JMN ;
Marle, CM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (21) :7551-7556
[7]   MULTIPLE HAMILTONIAN STRUCTURES FOR TODA SYSTEMS OF TYPE A-B-C [J].
Damianou, P. A. .
REGULAR & CHAOTIC DYNAMICS, 2000, 5 (01) :17-32
[8]   MULTIPLE HAMILTONIAN STRUCTURES FOR TODA-TYPE SYSTEMS [J].
DAMIANOU, PA .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (10) :5511-5541
[9]   MASTER SYMMETRIES AND R-MATRICES FOR THE TODA LATTICE [J].
DAMIANOU, PA .
LETTERS IN MATHEMATICAL PHYSICS, 1990, 20 (02) :101-112
[10]  
DAMIANOU PA, IN PRESS MATH PHYS