An overview of numerical simulation and experimental works that contra
dict the Fukuyama-Lee-Rice (FLR) theory of weak pinning is presented.
Within an alternative, analytic approach, we find a salomonic answer t
o the problem of three-dimensional weak pinning: short- and large-scal
e phase deformations coexist, but their role is different. The present
results provide a unified picture of the CDW weakly pinned by impurit
ies, and explain puzzling aspects of numerical simulations, disagreeme
nt between previous theories and experiments, e. g. in the case of NbS
e3, and the white line effect.