Gap solitons with null-scattering.

In this Letter, we study the excitation of gap solitons under the conditions of coherent perfect absorption. Our system consists of a symmetric periodic structure with alternating Kerr nonlinear and linear layers illuminated from both ends. We show near-total transfer of incident light energy into the gap solitons resulting in null scattering. We also report on the nonlinear super-scattering states. Both the exact and the approximate results, which show good agreement based on nonlinear characteristic matrix methods, are presented.