A non-linear Schrodinger type formulation of FLRW scalar field cosmology
  We show that the Friedmann-Lemaitre-Robertson-Walker equations with scalar field and perfect fluid matter source are equivalent to a suitable non-linear Schrodinger type equation. This provides for an alternate method of obtaining exact solutions of the Einstein field equations for a homogeneous, isotropic universe. 
Jennie D'Ambroise and Floyd L. Williams