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.