Majorana transformation for differential equations

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dc.creatorEsposito, Salvatore
dc.date2002-04-19
dc.date.accessioned2026-07-07T04:29:09Z
dc.date.available2026-07-07T04:29:09Z
dc.descriptionWe present a method for reducing the order of ordinary differential equations satisfying a given scaling relation (Majorana scale-invariant equations). We also develop a variant of this method, aimed to reduce the degree of non-linearity of the lower-order equation. Some applications of these methods are carried out and, in particular, we show that second-order Emden-Fowler equations can be transformed into first-order Abel equations. The work presented here is a generalization of a method used by Majorana in order to solve the Thomas-Fermi equation.
dc.descriptionRevTex, 8 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0204040
dc.identifierhttp://arxiv.org/abs/math-ph/0204040
dc.identifierInt.J.Theor.Phys. 41 (2002) 2417-2426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57049
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectClassical Analysis and ODEs
dc.subjectGeneral Mathematics
dc.subject34A25; 34A05; 34A34; 34B30; 85A04
dc.titleMajorana transformation for differential equations
dc.typetext

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