Integrability analysis of the Emden-Fowler equation

被引：29

作者：

Govinder, K. S. ^{[1
]}

Leach, P. G. L. ^{[2
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Sci, Astrophys & Cosmol Res Unit, ZA-4041 Durban, South Africa

[2] Univ Aegean, Sch Sci, Res Grp Math Phys, Dept Informat & Commun Syst Engn, Karlovassi 83200, Greece

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2007年 / 14卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.2991/jnmp.2007.14.3.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Emden-Fowler equation of index n is studied utilising the techniques of Lie and Painleve analysis. For general n information about the integrability of this equation is obtained. The link between these two types of analyses is explored. The special cases of n = -3, 2 are also examined. As a result of the Painleve analysis new second-order equations possessing the Painleve property are found.

引用

页码：435 / 453

页数：19

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