Generation of density inhomogeneities by magnetohydrodynamic waves in   two dimensions
  Using two dimensional simulations, we study the formation of structures with a high-density contrast by magnetohydrodynamic waves in regions in which the ratio of thermal to magnetic pressure is small. The initial state is a uniform background perturbed by fast-mode wave. Our most significant result is that dense structures persist for far longer in a two-dimensional simulation than in the one-dimensional case. Once formed, these structures persist as long as the fast-mode amplitude remains high. 
S. Van Loo, S.A.E.G. Falle & T.W. Hartquist