Differential-difference system related to toroidal Lie algebra

Details Differential-difference system related to toroidal Lie algebra Differential-difference system related to toroidal Lie algebra

2001-07-30

arxiv.org/abs/nlin/0107067v1

J.Phys.A34:10585-10594,2001

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, 4 figures, pLaTeX2e, uses amsmath, amssymb, amsthm, graphicx

Scientific paper

10.1088/0305-4470/34/48/322

We present a novel differential-difference system in (2+1)-dimensional
space-time (one discrete, two continuum), arisen from the Bogoyavlensky's
(2+1)-dimensional KdV 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 $\sl_2^{tor}$.

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