A family of solutions of the KP hierarchy obtained by Sato is analyzed for the KP equation. It is found that these solutions describe processes of interaction of an arbitrary number of resonant solitons. The interacting structures correspond to the one observed by Miles within the context of diffraction of solitons. It is seen that in solutions consisting in interaction processes, the Miles structures share certain branches in such a way that they can be interpreted as a multiple diffraction. It is also observed that, under interaction, these resonant solitons change both their forms and their velocities.