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
收藏
页码：473 / 486
页数：14
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