Modified (n-1, 1)th Gelfand-Dickey hierarchies and Toda-type systems

被引：3
|
作者：
Svinin, AK [1 ]
机构：
[1] Russian Acad Sci, Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia
来源：
INVERSE PROBLEMS | 2001年 / 17卷 / 02期
关键词：
D O I：
10.1088/0266-5611/17/2/310
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1995 Krichever proposed the construction of general (N, M)th rational reductions of the Kadomtsev-Petviashvili hierarchy. In this paper we construct a modification of differential equations of (n - 1, 1)th reductions and corresponding Toda-type systems. For these systems a discrete group of symmetry transformations is constructed. It is shown that Toda-type systems tan be derived as special reductions of an infinite two-dimensional Toda lattice.
引用
收藏
页码：307 / 318
页数：12
相关论文
共 50 条
  • [1] ON THE GELFAND-DICKEY ALGEBRA GD(SLN) AND THE WN/SYMMETRY .1. THE BOSONIC CASE
    SAIDI, EH
    SEDRA, MB
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (06) : 3190 - 3210
  • [2] GELFAND-DICKEY ALGEBRA AND HIGHER SPIN SYMMETRIES ON T2 = S1 x S1
    Sedra, M. B.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (31): : 5059 - 5080
  • [3] The affine A(1)n-1 Toda fields with boundary reflection
    Kojima, T
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2002, 17 (04): : 487 - 513
  • [4] Multi-time Lagrangian 1-forms for families of Backlund transformations: Toda-type systems
    Boll, Raphael
    Petrera, Matteo
    Suris, Yuri B.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (27)
  • [5] Multi-time Lagrangian 1-forms for families of Backlund transformations. Relativistic Toda-type systems
    Boll, Raphael
    Petrera, Matteo
    Suris, Yuri B.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (08)
  • [6] The Generation of (n, n(n-1), n-1) Permutation Group Codes for Communication Systems
    Peng, Li
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2019, 67 (07) : 4535 - 4549
  • [7] Form-factors of exponential fields in the affine A(N-1)((1)) Toda model
    Lukyanov, S
    [J]. PHYSICS LETTERS B, 1997, 408 (1-4) : 192 - 200
  • [8] Inverse scattering and solitons in A(n-1) affine Toda field theories
    Beggs, EJ
    Johnson, PR
    [J]. NUCLEAR PHYSICS B, 1997, 484 (03) : 653 - 681
  • [9] N-1 Loadability for Distribution Systems
    Xiao, Jun
    Su, Buyun
    Liu, Shisong
    Li, Fangxing
    [J]. 2015 IEEE POWER & ENERGY SOCIETY GENERAL MEETING, 2015,
  • [10] Type II vertex operators for the A(1)n-1 face model
    Furutsu, H
    Kojima, T
    Quano, YH
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2000, 15 (10): : 1533 - 1556
12345