  In this paper, based on the fundamental principles of Gauge/gravity duality
and considering a \textit{global quench}, we probe the physics of
thermalization for a special class of strongly coupled non relativistic QFTs by
computing the entanglement entropy of the plasma. The isometry group of such
QFTs is comprised of the generators of the Schr\"odinger algebra which could be
precisely realized as an isometry group of the killing generators of an
asymptotically Schr\"odinger $ Dp $ brane space time. In our analysis, we note
that during the pre local stages of the thermal equilibrium the entanglement
entropy has a faster growth in time compared to its relativistic cousin.
However, it shows a linear growth during the post local stages of thermal
equilibrium where the so called tsunami velocity associated with the linear
growth of the entanglement entropy saturates to that of its value corresponding
to the relativistic scenario. Finally, we explore the saturation region and it
turns out that one must constraint certain parameters of the theory in a
specific way in order to have a discontinuous transitions at the point of
saturation.
