New Integrable Hierarchies from Vertex Operator Representations of Polynomial Lie Algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
50 pages, no figures

Keywords

Exactly Solvable and Integrable Systems, Representation Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/80734

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0405040
 http://arxiv.org/abs/nlin/0405040

Collections

arXiv