ON THE MASTER SYMMETRIES AND BI-HAMILTONIAN STRUCTURE OF THE TODA LATTICE

被引：54

作者：

FERNANDES, RL ^{[1
]}

机构：

[1] INST SUPER TECN,DEPT MATEMAT,P-1000 LISBON,PORTUGAL

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 15期

关键词：

D O I：

10.1088/0305-4470/26/15/028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Starting from a conformal symmetry, higher-order Poisson tensors, deformation relations and master symmetries for the Toda lattice are obtained. A hierarchy of time-dependent symmetries is also constructed. Using reduction, deformation relations previously known to hold up to a certain equivalence relation are shown to be exact.

引用

页码：3797 / 3803

页数：7

共 50 条

[31] BI-HAMILTONIAN STRUCTURE OF SUPER KP HIERARCHY
FENG, Y
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (09) : 3180 - 3189
[32] Bi-Hamiltonian structure of modified Volterra model
Tsuchida, T
Wadati, M
CHAOS SOLITONS & FRACTALS, 1998, 9 (06) : 869 - 873
[33] On the bi-Hamiltonian structure of the Goryachev system on the sphere
Tsiganov, A. V.
DOKLADY MATHEMATICS, 2009, 79 (03) : 430 - 433
[34] COMMENTS ON THE SYMMETRY STRUCTURE OF BI-HAMILTONIAN SYSTEMS
ANDERSON, RL
FOKAS, AS
CZECHOSLOVAK JOURNAL OF PHYSICS, 1982, 32 (04) : 365 - 369
[35] On the bi-Hamiltonian structure of the Goryachev system on the sphere
A. V. Tsiganov
Doklady Mathematics, 2009, 79 : 430 - 433
[36] Bi-Hamiltonian structure of the general heavenly equation
Sheftel, M. B.
Malykh, A. A.
Yazici, D.
XXIV INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS-24), 2017, 804
[37] The bi-Hamiltonian structure of the short pulse equation
Brunelli, J. C.
PHYSICS LETTERS A, 2006, 353 (06) : 475 - 478
[38] ON BI-HAMILTONIAN STRUCTURES
FRAUENDIENER, J
NEWMAN, ET
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (02) : 331 - 337
[39] The second Hamiltonian structure for the periodic Toda lattice
Beffa, GM
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 : 547 - 566
[40] Integrable Hamiltonian systems associated to families of curves and their bi-Hamiltonian structure
Vanhaecke, P
INTEGRABLE SYSTEMS AND FOLIATIONS, 1997, 145 : 187 - 212

← 1 2 3 4 5 →