  The Wick-Cutkosky model is investigated using the framework of the Nakanishi
Perturbative Integral Representation projected in the Light-Front hyperplane
for an s-wave amplitude. We developed a new technique based on sucessive
integration by parts of the Nakanishi Representation which enabled us to
transform one of the integrations into a sum. With a set of boundary conditions
it was possible to guess the format of the solution, which was in fact a
distribution. The eigenequations obtained were the same as the originals of
Cutkosky \cite{CutPR54}. Finally, a numerical check confirmed that the final
equation reproduce the same eigenvalues as the initial Bethe-Salpeter equation.
