  In this paper, we propose the study of the Boiti-Leon-Manna-Pempinelli
equation from two point of views: the classical and supersymmetric cases. In
the classical case, we construct new solutions of this equation from Wronskian
formalism and Hirota method. We, then, introduce a N = 1 supersymmetric
extension of the Boiti-Leon-Manna-Pempinelli equation. We thus produce a
bilinear form and give multisolitons and superpartner solutions. As an
application, we produce a pair of B\"acklund transformations.
