Lie Group Classification for a Generalised Coupled Lane-Emden System in Dimension One

被引：12
|
作者：
Muatjetjeja, Ben [1 ]
Khalique, Chaudry Masood [1 ]
机构：
[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2014年 / 4卷 / 04期
关键词：
Lie group classification; generalised Lane-Emden system; principal Lie algebra; equivalence transformations; Lie point symmetries; Noether integrals; ELLIPTIC SYSTEM;
D O I：
10.4208/eajam.080214.230814a
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we discuss the generalised coupled Lane-Emden system u '' + H(nu)=0, v '' +G(u)= 0 that applies to several physical phenomena. The Lie group classification of the underlying system shows that it admits a ten-dimensional equivalence Lie algebra. We also show that the principal Lie algebra in one dimension has several possible extensions, and obtain an exact solution for an interesting particular case via Noether integrals.
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页码：301 / 311
页数：11
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