The asymptotic behaviour at late times of inhomogeneous ar,ion-dilaton cosm
ologies is investigated. The spacetimes considered here admit two Abelian s
pacelike Killing vectors. These spacetimes evolve towards an anisotropic un
iverse containing gravitational radiation. Furthermore, a peeling-off behav
iour of the Weyl tensor and the antisymmetric tensor field strength is foun
d. The relation to the pre-big-bang scenario is briefly discussed.