NOETHER, PARTIAL NOETHER OPERATORS AND FIRST INTEGRALS FOR THE COUPLED LANE-EMDEN SYSTEM

被引：18

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：

MATHEMATICAL & COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 03期

关键词：

Lagrangian; Noether and partial Noether operators; First integrals; Lane-Emden system; Lie group methods; LIE POINT SYMMETRIES; ELLIPTIC SYSTEM; EQUATION; LAGRANGIANS;

D O I：

10.3390/mca15030325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Systems of Lane-Emden equations arise in the modelling of several physical phenomena, such as pattern formation, population evolution and chemical reactions. In this paper we construct Noether and partial Noether operators corresponding to a Lagrangian and a partial Lagrangian for a coupled Lane-Emden system. Then the first integrals with respect to Noether and partial Noether operators are obtained for the Lane-Emden system under consideration. We show that the first integrals for both the Noether and partial Noether operators are the same. However, the gauge function is different in certain cases.

引用

页码：325 / 333

页数：9

共 32 条

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