Symmetry group classification of ordinary differential equations: Survey of some results

被引：88
|
作者：
Mahomed, F. M. [1 ]
机构：
[1] Univ Witwatersrand, Sch Computat & Appl Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2007年 / 30卷 / 16期
关键词：
ordinary differential equations; symmetry; transformations;
D O I：
10.1002/mma.934
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
After the initial seminal works of Sophus Lie on ordinary differential equations, several important results on point symmetry group analysis of ordinary differential equations have been obtained. In this review, we present the salient features of point symmetry group classification of scalar ordinary differential equations: linear nth-order, second-order equations as well as related results. The main focus here is the contributions of Peter Leach, in this area, in whose honour this paper is written on the occasion of his 65th birthday celebrations. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码：1995 / 2012
页数：18
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