An Extension of the KdV Hierarchy Arising from a Representation of a Toroidal Lie Algebra

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dc.creatorBillig, Yuly
dc.date1997-06-18
dc.date.accessioned2026-07-07T09:18:00Z
dc.date.available2026-07-07T09:18:00Z
dc.descriptionIn this article we show how to construct hierarchies of partial differential equations from the vertex operator representations of toroidal Lie algebras. In the smallest example - rank 2 toroidal cover of $sl_2$ - we obtain an extension of the KdV hierarchy. We use the action of the corresponding infinite-dimensional group to construct solutions for these non-linear PDEs.
dc.description22 pages, plain tex, no figures
dc.identifierhttps://arxiv.org/abs/solv-int/9706008
dc.identifierhttp://arxiv.org/abs/solv-int/9706008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153876
dc.subjectExactly Solvable and Integrable Systems
dc.titleAn Extension of the KdV Hierarchy Arising from a Representation of a Toroidal Lie Algebra
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