Experimental observation of solitons in a 1D nonlinear lattice

The experimental observations for the nonpropagation solitons with both spatial phase match and mismatch have been reported in a one-dimensional nonlinear lattice that is damped and vertically driven. Theoretically, using the method of multiple-scale solution, we develop a nonlinear Schr\"odinger equation for the experimental results including the kinks found by Denardo et al. Furthermore, under our order estimation the generating conditions for soliton and kink have been discussed. According to the generating conditions, the modes of the self-localized structures are determined closely by the intrinsic properties of the lattice rather than the driven parameters of the shake table.