  We study nonlinear modes in one-dimensional arrays of doped graphene
nanodisks with Kerr-type nonlinear response in the presence of an external
electric field. We present the theoretical model describing the evolution of
the disks' polarizations, taking into account intrinsic graphene losses and
dipole-dipole coupling between the graphene nanodisks. We reveal that this
nonlinear system can support discrete dissipative scalar solitons of both
longitudinal and transverse polarizations, as well as vector solitons composed
of two mutually coupled polarization components. We demonstrate the formation
of stable resting and moving localized modes under controlling guidance of the
external driving field.
