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.
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