All solutions of the n=5 Lane-Emden equation

被引：25
|
作者：
Mach, Patryk [1 ]
机构：
[1] Jagiellonian Univ, M Smoluchowski Inst Phys, PL-30059 Krakow, Poland
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 06期
关键词：
SELF-SIMILAR SOLUTIONS;
D O I：
10.1063/1.4725414
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
All real solutions of the Lane-Emden equation for n = 5 are obtained in terms of Jacobian and Weierstrass elliptic functions. A new family of solutions is found. It is expressed by remarkably simple formulae involving Jacobian elliptic functions only. The general properties and discrete scaling symmetries of these new solutions are discussed. We also comment on their possible applications. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4725414]
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页数：6
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