  Algorithms are developed for generating a class of exact braneworld
cosmologies, where a self-interacting scalar field is confined to a
positive-tension brane embedded in a bulk containing a negative cosmological
constant. It is assumed that the five-dimensional Planck scale exceeds the
brane tension but is smaller than the four-dimensional Planck mass. It is shown
that the field equations can be expressed as a first-order system. A number of
solutions to the equations of motion are found. The potential resulting in the
perfect fluid model is identified.
