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.
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页码：141 / 148
页数：8
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