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Zbl 0618.34009
Mahomed, F.M.; Leach, P.G.L.
The linear symmetries of a nonlinear differential equation.
(English)
[J] Quaest. Math. 8, 241-274 (1985). ISSN 1607-3606; ISSN 1927-933X/e

Authors' summary: "The Lie point symmetries of the nonlinear differential equation $\ddot q+3q\dot q+q\sp 3=0$ which arises in the study of the modified Emden equation are shown to have an unexpectedly rich algebra associated with them, a feature which enables the above nonlinear differential equation to be transformed into the simplest linear second order ordinary differential equation."
[N.L.Maria]
MSC 2000:
*34A34 Nonlinear ODE and systems, general
22E70 Appl. of Lie groups to physics

Keywords: Lie point symmetries; Emden equation; second order ordinary differential equation

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