Sundman symmetries of nonlinear second-order and third-order ordinary differential equations

被引：49

作者：

Euler, N ^{[1
]}

Euler, M ^{[1
]}

机构：

[1] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2004年 / 11卷 / 03期

关键词：

D O I：

10.2991/jnmp.2004.11.3.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the Sundman symmetries of second-order and third-order nonlinear ordinary differential equations. These symmetries, which are in general nonlocal transformations, arise from generalised Sundman transformations of autonomous equations. We show that these transformations and symmetries can be calculated systematically and can be used to find first integrals of the equations.

引用

页码：399 / 421

页数：23

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