Quasi-Lie schemes and Emden--Fowler equations
Mathematical Physics
2009-10-03 v1 math.MP
Abstract
The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisations is given. As a first result we obtain t-dependent constants of the motion for particular instances of Emden equations by means of some of their particular solutions. Previously known results are recovered from this new perspective. Finally some t-dependent constants of the motion for equations of Emden type satisfying certain conditions are recovered.
Keywords
Cite
@article{arxiv.0908.2236,
title = {Quasi-Lie schemes and Emden--Fowler equations},
author = {J. F. Cariñena and P. G. L. Leach and J. de Lucas},
journal= {arXiv preprint arXiv:0908.2236},
year = {2009}
}