We report a systematic experimental study of the anomalous nonlinear m
agnetotransport in the Wigner solid (WS) trapped on a liquid He-4 surf
ace. The ac Corbino conductivity sigma(xx) exhibits an abrupt jump at
a certain driving voltage. The threshold input voltage V-th for the si
gma(xx) jump varies as V(th)proportional to B(-0.8)omega(-1)n(s)(1.5)E
(perpendicular to), where B, omega, n(s), and E(perpendicular to) are
magnetic field, frequency, electron density and pressing electric fiel
d, respectively. We interpret the sigma(xx) jump as the transition bet
ween the WS accompanied with the periodic He-4 surface deformation and
the WS which decouples from the surface, due to the large driving for
ce. A simple model is presented: The rigid-potential sliding model qua
litatively explains the above mentioned behaviours of V-th. We have fo
und the dependencies of sigma(xx) on B and E(perpendicular to) are dif
ferent from those of the liquid phase. The anomalous behaviours of sig
ma(xx) play a crucial role on the sliding model.