Volume 18, Issue 2, June 2011, Pages 269 - 278
Parametric Solution of Certain Nonlinear Differential Equations in Cosmology
Authors
Jennie D'Ambroise
Division of Science and Mathematics, University of Minnesota Morris, Morris, Minnesota 56267, USA,jdambroi@morris.umn.edu
Floyd L. Williams
Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003, USA,williams@math.umass.edu
Received 2 September 2010, Accepted 8 November 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S140292511100143XHow to use a DOI?
- Keywords
- Weierstrass ℘-function; Bianchi cosmological models; elliptic functions
- 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.
- Copyright
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Jennie D'Ambroise AU - Floyd L. Williams PY - 2021 DA - 2021/01/07 TI - Parametric Solution of Certain Nonlinear Differential Equations in Cosmology JO - Journal of Nonlinear Mathematical Physics SP - 269 EP - 278 VL - 18 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S140292511100143X DO - 10.1142/S140292511100143X ID - D'Ambroise2021 ER -