  We construct the non-relativistic counterparts of some well-known
supergravity solutions dual to relevant and marginal deformations of N=4 super
Yang-Mills. The main tool we use is the null Melvin twist and we apply it to
the N=1 and N=2* Pilch-Warner RG flow solutions as well as the Lunin-Maldacena
solution dual to beta-deformations of N=4 super Yang-Mills. We also obtain a
family of supergravity solutions with Schrodinger symmetry interpolating
between the non-relativistic version of the N=1 Pilch-Warner and
Klebanov-Witten fixed points. A generic feature of these non-relativistic
backgrounds is the presence of non-vanishing internal fluxes. We also find the
most general, three-parameter, null Melvin twist of the AdS_5xS^5 black hole.
We briefly comment on the field theories dual to these supergravity solutions.
