Differential-difference system related to toroidal Lie algebra
arXiv:nlin/0107067 · doi:10.1088/0305-4470/34/48/322
Abstract
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 $\sl_2^{tor}$.
10 pages, 4 figures, pLaTeX2e, uses amsmath, amssymb, amsthm, graphicx