First integrals and reduction of a class of nonlinear higher order ordinary differential equations

被引：6

作者：

Euler, N

Leach, PGL ^{[1
]}

机构：

[1] Univ Natal, Sch Math & Stat Sci, ZA-4041 Durban, South Africa

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 287卷 / 02期

关键词：

nonlinear ordinary differential equations; first integrals; integrability;

D O I：

10.1016/S0022-247X(03)00544-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a method for constructing first integrals of higher order ordinary differential equations. In particular third, fourth and fifth order equations of the form x((n)) = h (x, x((n-1))) x over dot are considered. The relation of the proposed method to local and nonlocal symmetries are discussed. (C) 2003 Published by Elsevier Inc.

引用

页码：473 / 486

页数：14

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