Equations of Motion for the Out-of-Equilibrium Dynamics of Isolated   Quantum Systems from the Projection Operator Technique
  We present a rigorous framework to obtain evolution equations for the momentum distribution and higher order correlation functions in weakly interacting systems based on the Projection Operator Technique. These equations can be numerically solved in an efficient way. We compare the solution of the equations with known results for 1D models and find an excellent agreement. 
N. Nessi and A. Iucci
cond-mat.quant-gas cond-mat.stat-mech