  We consider the cosmological evolution of a brane in the presence of a bulk
scalar field coupled to the Ricci scalar through a term f(\phi)R. We derive the
generalized Friedmann equation on the brane in the presence of arbitrary brane
and bulk-matter, as well as the scalar field equation, allowing for a general
scalar potential V(phi). We focus on a quadratic form of the above non-minimal
coupling and obtain a class of late-time solutions for the scale factor and the
scalar field on the brane that exhibit accelerated expansion for a range of the
non-minimal coupling parameter.
