Differential-difference system related to toroidal Lie algebra
Exactly Solvable and Integrable Systems
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
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 .
Keywords
Cite
@article{arxiv.nlin/0107067,
title = {Differential-difference system related to toroidal Lie algebra},
author = {Saburo Kakei and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:nlin/0107067},
year = {2008}
}
Comments
10 pages, 4 figures, pLaTeX2e, uses amsmath, amssymb, amsthm, graphicx