We present numerically exact solitary solutions to the propagation equations of two incoherently coupled light beams in media with nonlocal anisotropic photorefractive nonlinearity. The vector solitons we studied consist of a nodeless beam and a dipole that is oriented perpendicular to the electric field applied to the photorefractive crystal. The solutions form a continuous set that ranges from vector solitons with negligible dipole contribution to vecor solitons with negligible contribution of the nodeless beam. The theoretical results are compared to experimental data, showing qualitative agreement. Furthermore we show that vector solitons consisting of a nodeless beam and a dipole oriented parallel to the externally applied field do exist, but are far more difficult to obtain experimentally and eventually get unstable.
 C. Weilnau, M. Ahles, C. Denz, A. Stepken, K. Motzek, F. Kaiser, "Higher order optical (2+1)dimensional spatial vector solitons in an anisotropic medium", Phys. Rev. E, submitted.
 K. Motzek, A. Stepken, F. Kaiser, M. R. Belic, M. Ahles, C. Weilnau, C. Denz, "Dipole-mode vector solitons in anisotropic photorefractive media", Optics Commumications, submitted.