Two-dimensional dipolar Bose-Einstein condensate bright and vortex solitons on a one-dimensional optical lattice

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.