中文

朝向离散 Painlevé 一首方程族的二阶 Lax 对

solv-int 2007-05-23 v2 可精确求解与可积系统

摘要

我们研究为六个离散 Painlevé 方程(Pn)寻找离散 Lax 对的问题。我们的选择是将 Garnier 的 Lax 对(一旦转换为矩阵形式)离散化。

关键词

引用

@article{arxiv.solv-int/9803013,
  title  = {Towards second order Lax pairs to discrete Painlev\'e equations of first degree},
  author = {R. Conte and M. Musette},
  journal= {arXiv preprint arXiv:solv-int/9803013},
  year   = {2007}
}

备注

16 pages, no figure, standard Latex, to appear in Chaos, solitons and fractals (1998). Proceedings of Integrability and chaos in discrete systems, Brussels 2--6 July 1997, eds. I. Antoniou and F. Lambert. Revision (one reference suppressed)