中文

Differential-difference system related to toroidal Lie algebra

可精确求解与可积系统 2008-11-26 v1 高能物理 - 理论 数学物理 math.MP 量子代数 表示论

摘要

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 \sl2tor\sl_2^{tor}.

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引用

@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}
}

备注

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