Magnetic and charge ordering in the stripe phases in the Hubbard model are investigated in the regime of large on-site Coulomb repulsion, using correlated wave functions. We have found that the appearance of stripes is a robust feature, while vertical and diagonal stripe phases compete with each other. The Hartree--Fock approximation yields qualitative information on the hole and magnetization density in the stripes, but their stability can be decided only by including the electron correlations.

PACS numbers: 74.20.Mn, 74.72.--h, 71.10.Pm, 71.27.+a