First integrals for a generalized coupled Lane-Emden system

被引：19

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：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 02期

关键词：

Lagrangian; Noether operators; First integrals; Lane-Emden system; Gauge function; LIE POINT SYMMETRIES; EQUATION;

D O I：

10.1016/j.nonrwa.2010.09.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify a generalized coupled Lane-Emden system tu + nu + tf (t)v(q) = 0, tv + n(v) over dot + tf (t)u(p) = 0 with respect to the standard first-order Lagrangian according to the Noether point symmetries it admits. First integrals of the various cases which admit Noether point symmetries are then obtained for the generalized coupled Lane-Emden system under consideration. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1202 / 1212

页数：11

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