Majorana transformation for differential equations

被引：12

作者：

Esposito, S

机构：

[1] Univ Naples Federico II, Dipartimento Sci Fisiche, I-80126 Naples, Italy

[2] Ist Nazl Fis Nucl, Sez Napoli, I-80126 Naples, Italy

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2002年 / 41卷 / 12期

关键词：

Majorana scale-invariant differential equations; Emden-Fowler equations; solution of the Thomas-Fermi equation;

D O I：

10.1023/A:1021398203046

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：2417 / 2426

页数：10