Provide techniques and models that lead describe large structure
s formation in the universe, is a great challenge in cosmology. In this work, matter spectrum potential at second order was reconstructed using semi-analytical methods, in this context general equations of movement for dark matter fluid are constructed. Due to the complexity in the solution of this kind of equations, a solution is proposed, first using a lineal regimen approach and then a Fouriers space representation is made getting solutions at second order, with elements of Quantum Field Theory corrections for a loop are obtained. Finally, equations of motion are proposed for mixed fluid of Baryonic and dark matter.