From the Toda lattice to the Volterra lattice and back

被引：27
作者：
Damianou, PA [1 ]
Fernandes, RL [1 ]
机构：
[1] Univ Cyprus, Dept Math & Stat, Nicosia, Cyprus
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2002年 / 50卷 / 03期
关键词：
integrable systems; Toda lattices; Volterra lattices;
D O I：
10.1016/S0034-4877(02)80066-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattices.
引用
收藏
页码：361 / 378
页数：18
相关论文
共 27 条
[1]  
ADLER M, 1979, INVENT MATH, V50, P219
[2]   THE TODA LATTICE, DYNKIN DIAGRAMS, SINGULARITIES AND ABELIAN-VARIETIES [J].
ADLER, M ;
VANMOERBEKE, P .
INVENTIONES MATHEMATICAE, 1991, 103 (02) :223-278
[3]  
[Anonymous], 1996, SPINNING TOPS
[4]   INTEGRABLE DISCRETIZATIONS OF THE KDV EQUATION [J].
BOGOYAVLENSKY, OI .
PHYSICS LETTERS A, 1988, 134 (01) :34-38
[5]   PERTURBATIONS OF PERIODIC TODA LATTICE [J].
BOGOYAVLENSKY, OI .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 51 (03) :201-209
[6]   DIRAC MANIFOLDS [J].
COURANT, TJ .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (02) :631-661
[7]  
Da Costa JMN, 2001, B SCI MATH, V125, P49
[8]   MULTIPLE HAMILTONIAN STRUCTURES FOR TODA SYSTEMS OF TYPE A-B-C [J].
Damianou, P. A. .
REGULAR & CHAOTIC DYNAMICS, 2000, 5 (01) :17-32
[9]   MULTIPLE HAMILTONIAN STRUCTURES FOR TODA-TYPE SYSTEMS [J].
DAMIANOU, PA .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (10) :5511-5541
[10]   THE VOLTERRA MODEL AND ITS RELATION TO THE TODA LATTICE [J].
DAMIANOU, PA .
PHYSICS LETTERS A, 1991, 155 (2-3) :126-132
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