  An attempt is made to apply the pure spinor formalism to the non-relativistic
IIA D2-brane. The fermionic constraints corresponding to the rescaled fermionic
coordinates are given. Two commuting spinor fields are introduced, each one
corresponding to a fermionic constraint. A BRST charge is constructed via the
ansatz proposed by N. Berkovits. The nilpotency of the BRST charge leads to a
set of constraints for the two spinor fields including pure spinor constraints.
A novel non-trivial solution is given for one of the spinor fields which can be
written as a sum of two pure spinors.
