Using self-consistent magnetohydrodynamic (MHD) simulations, we explore the hypothesis that nonlinear MHD waves dominate the internal dynamics of galactic molecular clouds. Our models employ an isothermal equation of state and allow for self-gravity. We adopt “slab-symmetry,” which permits motions v⊥ and fields B⊥ perpendicular to the mean field, but permits gradients only parallel to the mean ...