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. © 2004 Elsevier B.V. All rights reserved.

Casati, P., Ortenzi, G. (2006). New integrable hierarchies from vertex operator representations of polynomial Lie algebras. JOURNAL OF GEOMETRY AND PHYSICS, 56(3), 418-449 [10.1016/j.geomphys.2005.02.010].

New integrable hierarchies from vertex operator representations of polynomial Lie algebras

ORTENZI, GIOVANNI
2006

Abstract

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. © 2004 Elsevier B.V. All rights reserved.
Articolo in rivista - Articolo scientifico
Integrable hierarchies; solitons; vertex operators; Kac-Moody Lie algebras
English
418
449
Casati, P., Ortenzi, G. (2006). New integrable hierarchies from vertex operator representations of polynomial Lie algebras. JOURNAL OF GEOMETRY AND PHYSICS, 56(3), 418-449 [10.1016/j.geomphys.2005.02.010].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/9697
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