非交换Toda链、Hankel拟行列式与Painlevé II方程
数学物理
2015-05-19 v4 math.MP
可精确求解与可积系统
摘要
我们利用Hankel矩阵的拟行列式，在非交换微分除环上构造了无穷Toda系统以及Painlevé II方程类似物的解。
引用
@article{arxiv.1007.4168,
title = {Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation},
author = {Vladimir Retakh and Vladimir Rubtsov},
journal= {arXiv preprint arXiv:1007.4168},
year = {2015}
}
备注
16 pp; final revised version, will appear in J.Phys. A, minor changes (typos corrected following the Referee's List, aknowledgements and a new reference added)