Parametric solution of certain nonlinear differential equations in cosmology

Abstract

We obtain in terms of the Weierstrass elliptic $\wp -$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.

References in corpus (5)

• Inhomogeneous cosmological models: exact solutions and their applications
• Exact nonlinear inhomogeneities in $\Lambda$CDM cosmology
• Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions
• The Elliptic Solutions to the Friedmann equation and the Verlinde's Maps
• Parametric solution of certain nonlinear differential equations in cosmology

Cited by in corpus (4)

• Parametric solution of certain nonlinear differential equations in cosmology
• Non-linear Schrödinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions
• Critical Robertson-Walker universes
• Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II