  The $D$-colored version of tensor models has been shown to admit a large
$N$-limit expansion. The leading contributions result from so-called melonic
graphs which are dual to the $D$-sphere. This is a note about the
Schwinger-Dyson equations of the tensorial $\varphi^{4}_{5}$-model (with
propagator $1/{\bf p}^{2}$) and their melonic approximation. We derive the
master equations for two- and four-point correlation functions and discuss
their solution.
