On the geometry of the Painleve V equation and a Backlund transformation

被引：3

作者：

Schief, WK ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

ANZIAM JOURNAL | 2002年 / 44卷

关键词：

D O I：

10.1017/S1446181100007999

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that an integrable class of helicoidal surfaces in Euclidean space E-3 is governed by the Painleve V equation with four arbitrary parameters. A connection with sphere congruences is exploited to construct in a purely geometric manner an associated Backlund transformation.

引用

页码：141 / 148

页数：8

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