DISCRETE-TIME GENERALIZED TODA-LATTICES - COMPLETE-INTEGRABILITY AND RELATION WITH RELATIVISTIC TODA-LATTICES

被引：87
作者：
SURIS, YB
机构：
[1] Faculty of Technical Cybernetics, Leningrad Polytechnical Institute, 195251 Leningrad
来源：
PHYSICS LETTERS A | 1990年 / 145卷 / 2-3期
关键词：
D O I：
10.1016/0375-9601(90)90202-Y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Complete integrability of discrete time generalized Toda lattices is proved. It is shown that continuous-time Hamiltonian dynamics defined by their integrals coincides with the flow of relativistic Ruijsenaars-Toda lattices. © 1990.
引用
收藏
页码：113 / 119
页数：7
相关论文
共 23 条
  • [1] ABLOWITZ MJ, 1977, STUD APPL MATH, V57, P1
  • [2] ABLOWITZ MJ, 1976, STUD APPL MATH, V55, P213
  • [3] RECURSION OPERATOR AND BACKLUND-TRANSFORMATIONS FOR THE RUIJS']JSENAARS-TODA LATTICE
    BRUSCHI, M
    RAGNISCO, O
    [J]. PHYSICS LETTERS A, 1988, 129 (01) : 21 - 25
  • [4] LAX REPRESENTATION AND COMPLETE-INTEGRABILITY FOR THE PERIODIC RELATIVISTIC TODA LATTICE
    BRUSCHI, M
    RAGNISCO, O
    [J]. PHYSICS LETTERS A, 1989, 134 (06) : 365 - 370
  • [5] METHOD FOR GENERATING DISCRETE SOLITON-EQUATIONS .4.
    DATE, E
    JIMBO, M
    MIWA, T
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (03) : 761 - 765
  • [6] DATE E, 1983, J PHYS SOC JPN, V52, P766, DOI 10.1143/JPSJ.52.766
  • [7] METHOD FOR GENERATING DISCRETE SOLITON-EQUATIONS .1.
    DATE, E
    JINBO, M
    MIWA, T
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1982, 51 (12) : 4116 - 4124
  • [8] METHOD FOR GENERATING DISCRETE SOLITON-EQUATIONS .3.
    DATE, E
    JIMBO, M
    MIWA, T
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (02) : 388 - 393
  • [9] DATE E, 1982, J PHYS SOC JPN, V51, P4125, DOI 10.1143/JPSJ.51.4125
  • [10] Faddeev L.D., 1987, HAMILTONIAN METHOD T
123