R-MATRIX FORMULATION OF KP HIERARCHIES AND THEIR GAUGE EQUIVALENCE

被引：24

作者：

ARATYN, H

NISSIMOV, E

PACHEVA, S

VAYSBURD, I

机构：

[1] BEN GURION UNIV NEGEV,DEPT PHYS,IL-84105 BEER SHEVA,ISRAEL

[2] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND

[3] HEBREW UNIV JERUSALEM,RACAH INST PHYS,IL-91904 JERUSALEM,ISRAEL

来源：

PHYSICS LETTERS B | 1992年 / 294卷 / 02期

关键词：

D O I：

10.1016/0370-2693(92)90678-W

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Adler-Kostant-Symes R-bracket scheme is applied to the algebra of pseudodifferential operators to relate the three integrable hierarchies: KP and its two modifications, known as non-standard integrable models. All three hierarchies are shown to be equivalent and a connection is established in the form of a symplectic gauge transformation. This construction results in a new representation of the W-infinity algebras in terms of four boson fields.

引用

页码：167 / 176

页数：10

共 48 条

[1]

ARATYN H, 2 CURRENT REALIZATIO

[2] HAMILTONIAN STRUCTURES AND LAX EQUATIONS [J].