2011/05/13 by Jennie D’Ambroise, Jennie D'Ambroise, Floyd L. Williams · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Differential equation #Elliptic function #Function (biology) #Homogeneous #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Ordinary differential equation #Parametric equation #Parametric statistics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Sigma #gr-qc #math-ph #math.MP #msc:33E05 #msc:83C20 #msc:83F05
paper · pdf · doi:10.1142/s140292511100143x
published as Journal of Nonlinear Mathematical Physics 18, No. 2 (2011), pp. 269-278
openalex publication_date 2011/05/13 · arxiv created 2012/02/20 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.