Abstract: We report here the experimental observations for non-propagational solitons in the one-dimensional nonlinear lattice that are damped and parametrically driven. Theoretrically, Using the method of multiple-scaling expansion. We have well brought the experimental results of both soliton and kink in both models in match and mismatch into the frame of the cubic nonlinear Schr?dinger (NLS) equation. According to NLS, we predict that the form of the self-localized structure is only determineted by the intrinsic parameters of the lattice, rather than the exciting ones.