Fundamental mathematical structures of integrable models

被引：3
|
作者：
Korepanov, IG [1 ]
机构：
[1] S Ural State Univ, Chelyabinsk, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1999年 / 118卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1007/BF02557328
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider integrable models in a totally discrete multidimensional space-time. Dynamic variables are associated with cells into which the space is decomposed by a set of intersecting hyperplanes. We investigate the (2+1)-dimensional model related to the functional tetrahedron equation. We propose a method for constructing solutions of analogous models in higher dimensions.
引用
收藏
页码：319 / 324
页数：6
相关论文
共 50 条
  • [31] AN ANATOMY OF KINSHIP - MATHEMATICAL MODELS FOR STRUCTURES OF CUMULATED ROLES
    SNELL, JL
    AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (09): : 1042 - &
  • [32] A Few Integrable Dynamical Systems, Recurrence Operators, Expanding Integrable Models and Hamiltonian Structures by the r-Matrix Method
    Zhang, Yu-Feng
    Muhammad, Iqbal
    Yue, Chao
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 68 (04) : 463 - 470
  • [33] A Few Integrable Dynamical Systems,Recurrence Operators,Expanding Integrable Models and Hamiltonian Structures by the r-Matrix Method
    张玉峰
    Iqbal Muhammad
    岳超
    Communications in Theoretical Physics, 2017, 68 (10) : 463 - 470
  • [34] Fundamental mathematical theories
    Temple, G
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 354 (1714): : 1941 - 1967
  • [35] Fundamental limits to learning closed-form mathematical models from data
    Oscar Fajardo-Fontiveros
    Ignasi Reichardt
    Harry R. De Los Ríos
    Jordi Duch
    Marta Sales-Pardo
    Roger Guimerà
    Nature Communications, 14 (1)
  • [36] Fundamental limits to learning closed-form mathematical models from data
    Fajardo-Fontiveros, Oscar
    Reichardt, Ignasi
    De Los Rios, Harry R.
    Duch, Jordi
    Sales-Pardo, Marta
    Guimera, Roger
    NATURE COMMUNICATIONS, 2023, 14 (01)
  • [37] INTEGRABLE MODELS FOR GALAXIES
    DEZEEUW, T
    ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1988, 536 : 15 - 24
  • [38] INTEGRABLE GALACTIC MODELS
    HUNTER, C
    ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1988, 536 : 25 - 32
  • [39] Dyonic integrable models
    Gomes, JF
    Gueuvcghlanian, EP
    Sotkov, GM
    Zimerman, AH
    NUCLEAR PHYSICS B, 2001, 598 (03) : 615 - 644
  • [40] Integrable sigma models
    Fendley, P
    INTEGRABLE QUANTUM FIELD THEORIES AND THEIR APPLICATIONS, 2001, : 108 - 178
12345