  We investigate two-field cosmological model with phantom and canonical fields
(phantonical model as a generalisation of the quintom model for global universe
evolution, including early inflationary stage). The model is represented as the
chiral cosmological model with the target space conformal to 2D
pseudo-Euclidean space. We found three sorts of exact solutions for a constant
potential by direct integration of dynamic equations and proposed new method of
exact solution construction also extended for e-folds N-formalism for the case
of non-constant exponential potential. We show that the exact solutions of
cosmological dynamic equations can be obtained in explicit form for any type of
scale factor evolution $a(t)$ which implies the explicit inverse dependence
$t=t(a)$, considering the quasi de Sitter expansion of the universe with
non-negligible kinetic energies of scalar fields and showing that the appeared
effective cosmological constant can be considered as the source of second
accelerated expansion of the universe. Further we analyze cosmological
perturbations in the two-field model under consideration reducing it to the
single field one. Such transition give us the way of cosmological parameters
calculation and comparison them to observational data. We find that in proposed
two-field cosmological model the isocurvature perturbations are negligible, and
observable curvature perturbations are induced by adiabatic modes only. The
series of phantonical models based on exact inflationary solutions are
represented, and it is shown the correspondence to observational data for these
models.
