  For the bosonic gravi-dilaton system, we provide systematical approaches to
construct non-perturbative string cosmological solutions without curvature
singularities, which can match the perturbative solution to any order in
$\alpha^{\prime}$ expansion. When higher order $\alpha^{\prime}$ corrections
are calculated, they can be straightforwardly plugged in to generate compatible
non-perturbative evolutions without curvature singularities. We also give a
(phenomenological) map between $\alpha^{\prime}$ corrected EOM and loop
corrected EOM. This map enables us to easily generate a loop corrected solution
from an $\alpha^{\prime}$ corrected solution, and vice versa, therefore
substantially enlarges the solution space.
