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We study relations between hydrodynamical (H) and scalar field (SF) models ofthe dark energy in the early Universe. Main attention is paid to SF describedby the canonical Lagrangian within the homogeneous isotropic spatially flatcosmology. We analyze requirements that guarantee the same cosmological historyfor the SF and H-models at least for solutions with specially chosen initialconditions and we present a differential equation for the SF potential thatensures such a restricted equivalence of the SF and H-models. Also, we deriveda condition that guarantees an approximate equivalence when there is a smalldifference between energy momentum tensors of the models. The "equivalent"scalar field potentials for linear equations of state (EOS) are found in anexplicit form, we also present an examples with more complicated EOS.

Scalar field vs hydrodynamic models in the homogeneous isotropic cosmology