Peculiarities of the propagation of acoustic pulses with shock fronts in a
nonlinear medium with relaxation were studied experimentally and numericall
y. Evolution of a pulse profile was simulated numerically using a modified
spectral approach, which provided an opportunity to perform calculations ef
fectively in a wide range of parameters of the relaxation process. Intense
submicrosecond pulses excited by a photoacoustic method were used in the ex
periment. Measurements were conducted in acetic acid at various temperature
s, which provided an opportunity to vary time and strength of the relaxatio
n. It was demonstrated that nonlinearity contributes to the persistence of
the shock front, and the shape of the signal behind the shock front depends
strongly on the relaxation parameters. Based on the latter fact, a techniq
ue for the medium diagnostics was developed. This technique was founded on
the measurements of two characteristic parameters of the time profile of th
e transmitted pulse.