All solutions of the n = 5 Lane-Emden equation
Mathematical Physics
2015-06-05 v1 Solar and Stellar Astrophysics
General Relativity and Quantum Cosmology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1205.3480,
title = {All solutions of the n = 5 Lane-Emden equation},
author = {Patryk Mach},
journal= {arXiv preprint arXiv:1205.3480},
year = {2015}
}
Comments
To appear in Journal of Mathematical Physics