  We investigate a system of dipolar bosons in an optical lattice with local
two and three-body interactions. Using the mean-field theory approach, we
obtain the ground state phase diagram of the extended Bose-Hubbard (EBH) model
with both repulsive and attractive three-body interac- tions. We show that the
additional three-body on-site interaction has strong effects on the phase
diagram especially on the supersolid phase. Positive values of the three-body
interaction lead to the enhancement of the gapped phases at densities larger
than unity by reducing the supersolid region. However, a small attractive
three-body interaction enhances the supersolid phase.
