An exact solution of the moving boundary problem for the relativistic   plasma expansion in a dipole magnetic field
  An exact analytic solution is obtained for a uniformly expanding, neutral, highly conducting plasma sphere in an ambient dipole magnetic field with an arbitrary orientation of the dipole moment in the space. Based on this solution the electrodynamical aspects related to the emission and transformation of energy have been considered. In order to highlight the effect of the orientation of the dipole moment in the space we compare our results obtained for parallel orientation with those for transversal orientation. The results obtained can be used to treat qualitatively experimental and simulation data, and several phenomena of astrophysical and laboratory significance. 
H. B. Nersisyan, K. A. Sargsyan, D. A. Osipyan, H. H. Matevosyan
physics.plasm-ph math-ph math.MP physics.space-ph