  We derive the Gross Pitaevskii equation (GPE) for condensate of bosons
obeying deformed statistics under external potential and inter-particle
interaction. First, we obtain the well-known Schrodinger equation. Using a
suitable Hamiltonian for condensate phase and minimizing the free energy of the
system, we find out the $q$- deformed GPE. Thus, at very low temperature, where
the dynamics of excited-occupation level can be neglected, the dynamics of a
deformed statistics system can be described by the GPE, similar to the
Bose-Einstein condensate.
