New integrable hierarchies from vertex operator representations of polynomial Lie algebras

被引：29

作者：

Casati, P ^{[1
]}

Ortenzi, G ^{[1
]}

机构：

[1] II Univ Milano Bicacca, Dipartimento Matemat & Applicaz, I-20126 Milan, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2006年 / 56卷 / 03期

关键词：

integrable hierarchies; vertex operators; soliton equations; quadratic Lie algebras;

D O I：

10.1016/j.geomphys.2005.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a representation-theoretic interpretation of recent discovered coupled soliton equations using vertex operators construction of affinization of not simple but quadratic Lie algebras. In this setup we are able to obtain new integrable hierarchies coupled to each Drinfeld-Sokolov of A, B, C, D hierarchies and to construct their soliton solutions. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：418 / 449

页数：32