  A new approach to the nonlinear reponse of a multiplayer structure consisting
of alternating dielectric materials with intensity-dependent dielectric
constants is considered in both analytical and numerical viewpoints. The
nonlinear feedback of the structure gives rise to an artificial potential
acting as a mean-field feedback on each single dielectric material due to other
layers. For superlattices resulting from a regular periodic arrangement of an
infinite number of single dielectric layers, it is shown that an analytical
expression of this mean-field feedback can be obtained and waveshapes of the
associate gap solitons are derived. The case of a multilayer with dispersive
interlayer interactions is considered numerically and leads to strongly
localized gap solitons. Implicatons of the artificial soliton structure as for
possible theoretical modelling of soliton-compression phenomena are discussed.
