Searching for a universal integrable system

被引：0

作者：

Przanowski, M ^{[1
]}

Formanski, S ^{[1
]}

机构：

[1] Lodz Tech Univ, Inst Phys, PL-93005 Lodz, Poland

来源：

ACTA PHYSICA POLONICA B | 1999年 / 30卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is argued for the hypothesis that the SDYM equations for the Moyal bracket algebra (the master equation) is in a sense a universal integrable system. We show how the su(N) SDYM equations, the KP equation and the integrable equations in two dimensions can be encoded in the master equation.

引用

收藏

页码：863 / 879

页数：17

相关论文

共 36 条

[1] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].

BAYEN, F ;

FLATO, M ;

FRONSDAL, C ;

LICHNEROWICZ, A ;

STERNHEIMER, D .

ANNALS OF PHYSICS, 1978, 111 (01) :61-110

[2] DEFORMATION THEORY AND QUANTIZATION .2. PHYSICAL APPLICATIONS [J].

BAYEN, F ;

FLATO, M ;

FRONSDAL, C ;

LICHNEROWICZ, A ;

STERNHEIMER, D .

ANNALS OF PHYSICS, 1978, 111 (01) :111-151

[3] KILLING VECTORS IN SELF-DUAL, EUCLIDEAN EINSTEIN-SPACES [J].

BOYER, CP ;

FINLEY, JD .

JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (06) :1126-1130

[4]

COMPEAN HG, 1996, PHYS LETT A, V219, P249

[5] INFINITE-DIMENSIONAL ALGEBRAS AND A TRIGONOMETRIC BASIS FOR THE CLASSICAL LIE-ALGEBRAS [J].

FAIRLIE, DB ;

FLETCHER, P ;

ZACHOS, CK .

JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (05) :1088-1094

[6] CLASSIFICATION OF ALL H-SPACES ADMITTING A KILLING VECTOR [J].

FINLEY, JD ;

PLEBANSKI, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (09) :1938-1945

[7]

FLETCHER P, 1991, QUANTUM GROUPS

[8] ON SELF-DUAL GRAVITY [J].

GRANT, JDE .

PHYSICAL REVIEW D, 1993, 48 (06) :2606-2612

[9] SELF-DUAL GRAVITY AND THE CHIRAL MODEL [J].

HUSAIN, V .

PHYSICAL REVIEW LETTERS, 1994, 72 (06) :800-803

[10] CONSERVED QUANTITIES FOR INTEGRABLE CHIRAL EQUATIONS IN 2+1-DIMENSIONS [J].

IOANNIDOU, T ;

WARD, RS .

PHYSICS LETTERS A, 1995, 208 (03) :209-213

← 1 2 3 4 →