  Observations of molecular clouds show the existence of starless, dense cores,
threaded by magnetic fields. Observed line widths indicate these dense
condensates to be embedded in a supersonically turbulent environment. Under
these conditions, the generation of magnetic waves is inevitable. In this
paper, we study the structure and support of a 1D plane-parallel,
self-gravitating slab, as a monochromatic, circularly polarized Alfven wave is
injected in its central plane. Dimensional analysis shows that the solution
must depend on three dimensionless parameters. To study the nonlinear,
turbulent evolution of such a slab, we use 1D high resolution numerical
simulations. For a parameter range inspired by molecular cloud observations, we
find the following. 1) A single source of energy injection is sufficient to
force persistent supersonic turbulence over several hydrostatic scale heights.
2) The time averaged spatial extension of the slab is comparable to the
extension of the stationary, analytical WKB solution. Deviations, as well as
the density substructure of the slab, depend on the wave-length of the injected
wave. 3) Energy losses are dominated by loss of Poynting-flux and increase with
increasing plasma beta. 4) Good spatial resolution is mandatory, making similar
simulations in 3D currently prohibitively expensive.
