dorsal/arxiv
View SchemaAn Extension of the KdV Hierarchy Arising from a Representation of a Toroidal Lie Algebra
| Authors | Yuly Billig |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9706008 |
| URL | https://arxiv.org/abs/solv-int/9706008 |
Abstract
In 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.
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"abstract": "In this article we show how to construct hierarchies of partial differential\nequations from the vertex operator representations of toroidal Lie algebras. In\nthe smallest example - rank 2 toroidal cover of $sl_2$ - we obtain an extension\nof the KdV hierarchy. We use the action of the corresponding\ninfinite-dimensional group to construct solutions for these non-linear PDEs.",
"arxiv_id": "solv-int/9706008",
"authors": [
"Yuly Billig"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "An Extension of the KdV Hierarchy Arising from a Representation of a Toroidal Lie Algebra",
"url": "https://arxiv.org/abs/solv-int/9706008"
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