Parametric solution of certain nonlinear differential equations in cosmology
General Relativity and Quantum Cosmology
2015-06-04 v1 Mathematical Physics
math.MP
Abstract
We obtain in terms of the Weierstrass elliptic function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential equation. This equation includes, in special cases, equations that occur in the study of both homogeneous and inhomogeneous cosmological models, and also in the dynamic Bose-Einstein condensates - cosmology correspondence, for example.
Keywords
Cite
@article{arxiv.1202.4422,
title = {Parametric solution of certain nonlinear differential equations in cosmology},
author = {Jennie D'Ambroise and Floyd L. Williams},
journal= {arXiv preprint arXiv:1202.4422},
year = {2015}
}