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/).
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 -