  We derive the bosonization of the interacting fermionic Su-Schrieffer-Heeger
(SSH) with open boundaries. We use the classical Euler-Lagrange equations of
motions of the bosonized theory to compute the density profile of the Majorana
edge mode and observe excellent agreement with numerical results, notably the
localization of the mode near the boundaries. Remarkably, we find that
repulsive or attractive interactions do not systematically localize or
delocalize the edge mode but their effects depend on the value of the
staggering parameter. We provide quantitative predictions of these effects on
the localization length of the edge mode.
