  A new cosmological solution of the gravitational field equations in the
generalized Randall-Sundrum model for an anisotropic brane with Bianchi I
geometry and with perfect fluid as matter sources is presented. The matter is
described by a scalar field. The solution admits inflationary era and at a
later epoch the anisotropy of the universe washes out. We obtain two classes of
cosmological scenario, in the first case universe evolves from singularity and
in the second case universe expands without singularity.
