Alfven soliton and intermediate shock in the solar wind

We show in this paper that intermediate shocks are formed from kinetic Alfv en waves through wave form continuous steepening. From the action of nonlin ear interaction and dispersion Alfven solitons are formed and then evolve i nto shocks. We calculated the traveling stationary structures directly from nonlinear autonomous equations,which we had derived. These traveling stati onary structures correspond to intermediate shock, switch-on shock or Alfve n solitary waves, Another kind of rare discontinuity was discovered in the calculation from the rarefying solitary waves. The solitary wave series rem ain on the front of the shocks because of no strong dissipation appears in the equation. When we added some anomalous dissipation terms to the equatio ns, intermediate shocks with increased in entropy appeared.