  We study finite size corrections to the semiclassical string solutions of the
Schrodinger spacetime. We compute the leading order exponential corrections to
the infinite size dispersion relation of the single spin giant magnon and of
the single spin single spike solutions. The solutions live in a $S^3$ subspace
of the five-sphere and extent in the Schrodinger part of the metric. In the
limit of zero deformation the finite size dispersion relations flow to the
undeformed $AdS_5 \times S^5$ counterparts and in the infinite size limit the
correction term vanishes and the known infinite size dispersion relations are
obtained.
