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arXiv · 0908.2236

Quasi-Lie schemes and Emden--Fowler equations

J. F. Cariñena·P. G. L. Leach·J. de Lucas
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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.

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J. F. Cariñena, P. G. L. Leach, J. de Lucas. 2009-08-16. Quasi-Lie schemes and Emden--Fowler equations. https://doi.org/10.1063/1.3230494

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