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We examine with particle-in-cell (PIC) simulations how a parallel shock inpair plasma reacts to upstream waves, which are driven by escaping downstreamparticles. Initially, the shock is sustained in the two-dimensional simulationby a magnetic filamentation (beam-Weibel) instability. Escaping particles drivean electrostatic beam instability upstream. Modifications of the upstreamplasma by these waves hardly affect the shock. In time, a decreasing densityand increasing temperature of the escaping particles quench the beaminstability. A larger thermal energy along than perpendicular to the magneticfield destabilizes the pair-Alfv\'en mode. In the rest frame of the upstreamplasma, the group velocity of the growing pair-Alfv\'en waves is below that ofthe shock and the latter catches up with the waves. Accumulating pair-Alfv\'enwaves gradually change the shock in the two-dimensional simulation from aWeibel-type shock into an Alfv\'enic shock with a Mach number that is about 6for our initial conditions.

Change of a Weibel-type to an Alfv\'enic shock in pair plasma by upstream waves