INTEGRATION OF 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS NOT POSSESSING LIE POINT SYMMETRIES

被引：58
|
作者：
ABRAHAMSHRAUNER, B
GOVINDER, KS
LEACH, PGL
机构：
[1] UNIV AEGEAN,DEPT MATH,GR-83200 KARLOVASSI,GREECE
[2] UNIV NATAL,DEPT MATH & APPL MATH,DALBRIDGE 4014,SOUTH AFRICA
来源：
PHYSICS LETTERS A | 1995年 / 203卷 / 04期
关键词：
D O I：
10.1016/0375-9601(95)00426-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A class of integrable second order ordinary differential equations not possessing Lie point symmetries is shown to be rich in nonlocal symmetries which provide one route for integration and to have general solutions which are uniform functions.
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页码：169 / 174
页数：6
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