C-series discrete chains

被引：7

作者：

Habibullin, IT ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math, Ufa Sci Ctr, Ufa, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2006年 / 146卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

discrete Toda chains; integrable boundary conditions; discrete hyperbolic equations; Laplace invariants; Lax pair; simple Lie algebras;

D O I：

10.1007/s11232-006-0017-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find analogues of the generalized two-dimensional Toda chains of the C-N and (C) over tilde (N) series with three discrete independent variables and give Lax pairs for these chains.

引用

页码：170 / 182

页数：13

共 10 条

[1]

DARBOUX G, 1915, LECONS THEORIE GENER, V2

[2] Truncations of Toda chains and the reduction problem [J].

Habibullin, IT .

THEORETICAL AND MATHEMATICAL PHYSICS, 2005, 143 (01) :515-528

[3] DISCRETE ANALOG OF A GENERALIZED TODA EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (11) :3785-3791

[4] Finite-dimensional discrete systems integrated in quadratures [J].

Kazakova, TG .

THEORETICAL AND MATHEMATICAL PHYSICS, 2004, 138 (03) :356-369

[5] INTEGRABLE 3-DIMENSIONAL LATTICES [J].

LEVI, D ;

PILLONI, L ;

SANTINI, PM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (07) :1567-1575

[6]

LEZNOV AN, 1985, GROUP THEORETICAL ME

[7] Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds [J].

Novikov, SP ;

Dynnikov, IA .

RUSSIAN MATHEMATICAL SURVEYS, 1997, 52 (05) :1057-1116

[8]

Suris Y.B., 1991, LENINGRAD MATH J, V2, P339

[9] DISCRETE TODA FIELD-EQUATIONS [J].

WARD, RS .

PHYSICS LETTERS A, 1995, 199 (1-2) :45-48

[10] Hirota's difference equations [J].

Zabrodin, AV .

THEORETICAL AND MATHEMATICAL PHYSICS, 1997, 113 (02) :1347-1392

← 1 →