MASTER SYMMETRIES AND R-MATRICES FOR THE TODA LATTICE

被引：38
|
作者：
DAMIANOU, PA
机构：
[1] Department of Mathematics, The University of Arizona, Tucson, 85721, AZ
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1990年 / 20卷 / 02期
关键词：
AMS subject classification (1980): 58Fxx;
D O I：
10.1007/BF00398275
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associated with the Toda lattice are constructed and the various connections between them are investigated. These brackets may also be obtained by using r-matrices. © 1990 Kluwer Academic Publishers.
引用
收藏
页码：101 / 112
页数：12
相关论文
共 50 条
  • [1] The Hamiltonian structures of the two-dimensional Toda lattice and R-matrices
    Carlet, G
    LETTERS IN MATHEMATICAL PHYSICS, 2005, 71 (03) : 209 - 226
  • [2] The Hamiltonian Structures of the Two-Dimensional Toda Lattice and R-Matrices
    Guido Carlet
    Letters in Mathematical Physics, 2005, 71 : 209 - 226
  • [3] Noether and master symmetries for the Toda lattice
    Damianou, PA
    Sophocleous, C
    APPLIED MATHEMATICS LETTERS, 2005, 18 (02) : 163 - 170
  • [4] ON THE MASTER SYMMETRIES AND BI-HAMILTONIAN STRUCTURE OF THE TODA LATTICE
    FERNANDES, RL
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (15): : 3797 - 3803
  • [5] Toric Networks, Geometric R-Matrices and Generalized Discrete Toda Lattices
    Rei Inoue
    Thomas Lam
    Pavlo Pylyavskyy
    Communications in Mathematical Physics, 2016, 347 : 799 - 855
  • [6] Toric Networks, Geometric R-Matrices and Generalized Discrete Toda Lattices
    Inoue, Rei
    Lam, Thomas
    Pylyayskyy, Pavlo
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 347 (03) : 799 - 855
  • [7] Master symmetries and bi-Hamiltonian structures for the relativistic Toda lattice
    daCosta, JMN
    Marle, CM
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (21): : 7551 - 7556
  • [8] Cyclicity and R-matrices
    David Hernandez
    Selecta Mathematica, 2019, 25
  • [9] Plabic R-Matrices
    Chepuri, Sunita
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2020, 56 (02) : 281 - 351
  • [10] Cyclicity and R-matrices
    Hernandez, David
    SELECTA MATHEMATICA-NEW SERIES, 2019, 25 (02):
12345