Bonnet曲面与Painlevé方程
数学物理
2017-10-16 v2 微分几何
math.MP
可精确求解与可积系统
摘要
我们证明Bonnet曲面的活动标架方程可导出第六个Painlevé方程的二阶等单值矩阵Lax对。
引用
@article{arxiv.1607.01222,
title = {Surfaces de Bonnet et \'equations de Painlev\'e},
author = {Robert Conte},
journal= {arXiv preprint arXiv:1607.01222},
year = {2017}
}
备注
in French. Formula (14) added. Two paragraphs added p 5-6. Old ref 1 removed, ref 7 added. To appear, Comptes rendus Acad. sciences Paris