Quasi-Lie schemes and Emden--Fowler equations

Details Quasi-Lie schemes and Emden--Fowler equations Quasi-Lie schemes and Emden--Fowler equations

2009-08-16

arxiv.org/abs/0908.2236v1

Journal of Mathematical Physics 50, 103515 (2009).

Physics

Mathematical Physics

Scientific paper

10.1063/1.3230494

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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