  By solving the three-dimensional Gross-Pitaevskii equation we generate
two-dimensional axially-symmetric and anisotropic dipolar Bose-Einstein
condensate bright solitons, for repulsive atomic interaction, stabilized by
only a weak one-dimensional optical lattice (OL) aligned along and
perpendicular, respectively, to the dipole polarization direction. In the
former case vortex solitons can also be created. We show that it is possible to
make a stable array of small interacting axially-symmetric dipolar solitons put
on alternate OL sites. Further, we demonstrate the elastic nature of the
collision of two such solitons.
