Observations and applications of nonlinear acoustic phenomena in super
fluid He-3-B are reported. Two-phonon absorption (TPA) by the real squ
ashing (rsq) mode has been detected under several experimental conditi
ons below p = 3.5 bar, using two coincident sound pulses. The attenuat
ion peak height has been investigated as a function of the energy dens
ities of the two sound waves. We discovered the five-fold Zeeman split
ting of TPA by parallel sound pulses in an applied magnetic field and
the two-fold dispersion splitting due to the finite wave vector of the
mode when the two sound pulses are mutually perpendicular. The disper
sion relation of the real squashing mode has been investigated at zero
pressure and in zero magnetic field by exciting the mode with two par
allel, perpendicular, or antiparallel sound waves. Experimental values
for the parameters that determine the collective-mode velocities have
been extracted from the positions of the observed attenuation maxima.
An anomalous structure has been observed in the attenuation and phase
velocity spectra of a single high-intensity sound wave near the thres
hold for pair breaking by two phonons; in an applied magnetic field th
e phase velocity anomaly splits into a triplet.