  We extend the semi-classical trajectory description for the high-order
harmonic generation~(HHG) from solids by integrating the effect of
electron-scattering. Comparing the extended semi-classical trajectory model
with a one-dimensional quantum mechanical simulation, we find that the
multi-plateau feature of the HHG spectrum is formed by Umklapp scattering under
the electron-hole acceleration dynamics by laser fields. Furthermore, by
tracing the scattered trajectories in real-space, the model fairly describes
the emitted photon energy and the emission timing of the HHG even in the higher
plateau regions. We further consider the loss of trajectories by scattering
processes with a mean-free-path approximation and evaluate the HHG cutoff
energy as a function of laser wavelength. As a result, we find that the
trajectory loss by scattering causes the wavelength independence of the HHG
from solids.
