Journal of Nonlinear Mathematical Physics

Volume 15, Issue 2, August 2008, Pages 152 - 161

Lagrangian formulation of a generalized Lane-Emden equation and double reduction

Authors
C. Masood Khalique1, Fazal M. Mahomed2, Ben Muatjetjeja2
1International Institute for Symmetry Analysis and Mathematical Model ling Department of Mathematical Sciences, North-West University, Mafikeng Campus
2Centre for Differential Equations, Continuum Mechanics and Applications School of Computational and Applied Mathematics, University of the Witwatersrand
Received 3 June 2007, Accepted 6 December 2007, Available Online 1 August 2008.
DOI
10.2991/jnmp.2008.15.2.3How to use a DOI?
Abstract

We classify the Noether point symmetries of a generalized Lane-Emden equation. We obtain first integrals of the various cases which admit Noether point symmetry and find reduction to quadratures for these cases. Three new cases are found for the function f (y). One of them is f (y) = ?y r, where r

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 2
Pages
152 - 161
Publication Date
2008/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.2.3How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - C. Masood Khalique
AU  - Fazal M. Mahomed
AU  - Ben Muatjetjeja
PY  - 2008
DA  - 2008/08/01
TI  - Lagrangian formulation of a generalized Lane-Emden equation and double reduction
JO  - Journal of Nonlinear Mathematical Physics
SP  - 152
EP  - 161
VL  - 15
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.2.3
DO  - 10.2991/jnmp.2008.15.2.3
ID  - Khalique2008
ER  -