  We obtain an exact expression for the time evolution of the interacting Bose
gas following a quench from a generic initial state using the Yudson
representation for integrable systems. We study the time evolution of the
density and noise correlation for a small number of bosons and their asymptotic
behavior for any number. We show that for any value of the coupling, as long as
it is repulsive, the system asymptotes towards a strongly repulsive gas, while
for any value of an attractive coupling the long time behavior is dominated by
the maximal bound state. This occurs independently of the initial state and can
be viewed as an emerging "dynamic universality".
