Va. Hopkins et al., OBSERVATION OF THE PREDICTED BEHAVIOR OF NONLINEAR PULSE-PROPAGATION IN DISORDERED MEDIA, Physical review letters, 76(7), 1996, pp. 1102-1105
A fundamental question concerning systems which are both disordered an
d nonlinear is whether or not Anderson localization is weakened by the
nonlinearity. Theory predicts that localized eigenstates will survive
nonlinearity, whereas nonlinear pulses may or may not experience the
effects of localization depending on the relative magnitude of the And
erson localization length and a characteristic ''nonlinearity'' length
for the pulse. We have used nonlinear surface waves on a superfluid h
elium him to obtain results in agreement with theoretical predictions.