Majorana Transformation for Differential Equations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2002-12

AUTHORS

S. Esposito

ABSTRACT

We 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 nonlinearity 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. More... »

PAGES

2417-2426

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1021398203046

DOI

http://dx.doi.org/10.1023/a:1021398203046

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1032725886


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