Journal of Nonlinear Mathematical Physics

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Volume 14, Issue 3, October 2007, Pages 443 - 461

Integrability analysis of the Emden-Fowler equation

Authors
K.S. Govinder, P.G.L. Leach
Corresponding Author
K.S. Govinder
Received 6 January 2007, Accepted 6 April 2007, Available Online 1 October 2007.
DOI
10.2991/jnmp.2007.14.3.10How to use a DOI?
Abstract

The Emden-Fowler equation of index n is studied utilising the techniques of Lie and Painlev ́e analysis. For general n information about the integrability of this equation is obtained. The link between these two types of analyses is explored. The special cases of n = −3, 2 are also examined. As a result of the Painlev ́e analysis new second-order equations possessing the Painlev ́e property are found.

Copyright
© 2007, 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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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 3
Pages
443 - 461
Publication Date
2007/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2007.14.3.10How to use a DOI?
Copyright
© 2007, 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

risenwbib
TY  - JOUR
AU  - K.S. Govinder
AU  - P.G.L. Leach
PY  - 2007
DA  - 2007/10/01
TI  - Integrability analysis of the Emden-Fowler equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 443
EP  - 461
VL  - 14
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2007.14.3.10
DO  - 10.2991/jnmp.2007.14.3.10
ID  - Govinder2007
ER  -