Elementary Toda orbits and integrable lattices

被引：32

作者：

Faybusovich, L ^{[1
]}

Gekhtman, M ^{[1
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 05期

关键词：

D O I：

10.1063/1.533279

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that key features of several important integrable lattices appear naturally in a framework of the full Toda flows. Using special symplectic leaves for these flows, we construct a family of bi-Hamiltonian integrable lattices that interpolates between the nonrelativistic and relativistic Toda lattices. (C) 2000 American Institute of Physics. [S0022- 2488(00)04905-7].

引用

页码：2905 / 2921

页数：17

共 31 条

[21] SOLUTION TO A GENERALIZED TODA LATTICE AND REPRESENTATION THEORY [J].

KOSTANT, B .

ADVANCES IN MATHEMATICS, 1979, 34 (03) :195-338

[22] NONLINEAR POISSON STRUCTURES AND UPSILON-MATRICES [J].

LI, LC ;

PARMENTIER, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 125 (04) :545-563

[23]

MOSER J, 1974, SPRINGER NOTES PHYSI, P417

[24] Peakons, r-matrix and Toda lattice [J].

Ragnisco, O ;

Bruschi, M .

PHYSICA A, 1996, 228 (1-4) :150-159

[25]

Reyman A, 1994, ENCYCL MATH SCI, V16, P116

[26] RELATIVISTIC TODA SYSTEMS [J].

RUIJSENAARS, SNM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 133 (02) :217-247

[27]

SINGER S, 1990, THESIS NEW YORK U

[28] ON THE BI-HAMILTONIAN STRUCTURE OF TODA AND RELATIVISTIC TODA-LATTICES [J].

SURIS, YB .

PHYSICS LETTERS A, 1993, 180 (06) :419-429

[29]

SURIS YB, 1997, INVERSE PROBL, V13, P1211

[30] ISOSPECTRAL FLOWS [J].

WATKINS, DS .

SIAM REVIEW, 1984, 26 (03) :379-391

← 1 2 3 4 →