Surface solitons in Kerr-type nonlinear media with chirped lattices

The existence and stability of the fundamental, multi-peak, and twisted solitons in Kerr nonlinear media with chirped (amplitude-modulated) lattices are reported. We discover that the chirp rate and lattice depth can dramatically change the existence domain of solitons, the energy flow of solitons increases with increasing chirp rate or decreasing lattice depth. We also analyze how the chirp rate and lattice depth affect the stability of solitons. The stable domains of fundamental solitons and twisted solitons exhibit a multi-window distribution, while multi-peak solitons are unstable throughout the entire existence domain.