AFFINE LIE ALGEBRAIC ORIGIN OF CONSTRAINED KP HIERARCHIES

被引：23

作者：

ARATYN, H ^{[1
]}

GOMES, JF ^{[1
]}

ZIMERMAN, AH ^{[1
]}

机构：

[1] UNIV NACL ESTADUAL SAO PAULO,INST FIS TEOR,BR-01405900 SAO PAULO,BRAZIL

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 07期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.530970

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An affine sl(n + 1) algebraic construction of the basic constrained KP hierarchy is presented. This hierarchy is analyzed using two approaches, namely linear matrix eigenvalue problem on hermitian symmetric space and constrained KP Lax formulation and it is shown that these approaches are equivalent. The model is recognized to be the generalized non-linear Schrodinger (GNLS) hierarchy and it is used as a building block for a new class of constrained KP hierarchies. These constrained KP hierarchies are connected via similarity-Backlund transformations and interpolate between GNLS and multi-boson KP-Toda hierarchies. Our construction uncovers the origin of the Toda lattice structure behind the latter hierarchy. (C) 1995 American Institute of Physics.

引用

页码：3419 / 3442

页数：24

共 39 条

[1] ON 2-CURRENT REALIZATION OF KP HIERARCHY [J].

ARATYN, H ;

FERREIRA, LA ;

GOMES, JF ;

ZIMERMAN, AH .

NUCLEAR PHYSICS B, 1993, 402 (1-2) :85-117

[2] ON DISCRETE SYSMMETRIES OF THE MULTI-BOSON KP HIERARCHIES [J].

ARATYN, H ;

FERREIRA, LA ;

ZIMERMAN, AH .

PHYSICS LETTERS B, 1994, 327 (3-4) :266-273

[3] R-MATRIX FORMULATION OF KP HIERARCHIES AND THEIR GAUGE EQUIVALENCE [J].

ARATYN, H ;

NISSIMOV, E ;

PACHEVA, S ;

VAYSBURD, I .

PHYSICS LETTERS B, 1992, 294 (02) :167-176

[4] CONSTRUCTION OF KP HIERARCHIES IN TERMS OF FINITE NUMBER OF FIELDS AND THEIR ABELIANIZATION [J].

ARATYN, H ;

NISSIMOV, E ;

PACHEVA, S .

PHYSICS LETTERS B, 1993, 314 (01) :41-51

[5] 2-MATRIX STRING MODEL AS CONSTRAINED (2+1)-DIMENSIONAL INTEGRABLE SYSTEM [J].

ARATYN, H ;

NISSIMOV, E ;

PACHEVA, S ;

ZIMERMAN, AH .

PHYSICS LETTERS B, 1994, 341 (01) :19-30

[6]

ARATYN H, HEPTH9209006

[7]

ARATYN H, HEPTH9407112

[8]

ARATYN H, HEPTH9306035

[9]

ARATYN H, HEPTH9407017

[10]

ARATYN H, HEPTH9312144

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