On the Darboux-Nijenhuis Variables for the Open Toda Lattice

被引：7

作者：

Grigoryev, Yuriy A. ^{[1
]}

Tsiganov, Andrey V. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2006年 / 2卷

关键词：

bi-Hamiltonian systems; Toda lattice;

D O I：

10.3842/SIGMA.2006.097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss two known constructions proposed by Moser and by Sklyanin of the Darboux-Nijenhuis coordinates for the open Toda lattice.

引用

页数：15

共 24 条

[1]

[Anonymous], 1988, MB PORTER LECT

[2]

[Anonymous], LECTURE NOTES PHYSIC

[3] A SYSTEMATIC STUDY OF THE TODA LATTICE [J].

DAS, A ;

OKUBO, S .

ANNALS OF PHYSICS, 1989, 190 (02) :215-232

[4] Bihamiltonian geometry and separation of variables for Toda lattices [J].

Falqui, G ;

Magri, F ;

Pedroni, M .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2001, 8 (Suppl 1) :118-127

[5] Separation of variables for bi-Hamiltonian systems [J].

Falqui, G ;

Pedroni, M .

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2003, 6 (02) :139-179

[6] Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices [J].

Faybusovich, L ;

Gekhtman, M .

PHYSICS LETTERS A, 2000, 272 (04) :236-244

[7] ON THE MASTER SYMMETRIES AND BI-HAMILTONIAN STRUCTURE OF THE TODA LATTICE [J].

FERNANDES, RL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (15) :3797-3803

[8] CANONICALLY CONJUGATE VARIABLES FOR KORTEWEG-DEVRIES EQUATION AND TODA LATTICE WITH PERIODIC BOUNDARY-CONDITIONS [J].

FLASCHKA, H ;

MCLAUGHLIN, DW .

PROGRESS OF THEORETICAL PHYSICS, 1976, 55 (02) :438-456

[9]

Frlicher A., 1956, PROC KOND NED AKAD, V18, P338

[10] SYMPLECTIC STRUCTURES, THEIR BACKLUND-TRANSFORMATIONS AND HEREDITARY SYMMETRIES [J].

FUCHSSTEINER, B ;

FOKAS, AS .

PHYSICA D, 1981, 4 (01) :47-66

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