A differential-difference system related to toroidal Lie algebra
Abstract
We present a novel differential-difference system in (2+1)-dimensional space-time (one discrete, two continuum), arising from Bogoyavlensky's (2+1)-dimensional Korteweg-de Vries hierarchy. Our method is based on the bilinear identity of the hierarchy, which is related to the vertex-operator representation of the toroidal Lie algebra, s ltor2.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- December 2001
- DOI:
- arXiv:
- arXiv:nlin/0107067
- Bibcode:
- 2001JPhA...3410585K
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Mathematical Physics;
- Mathematics - Quantum Algebra;
- Mathematics - Representation Theory
- E-Print:
- 10 pages, 4 figures, pLaTeX2e, uses amsmath, amssymb, amsthm, graphicx