Dissipative plasmon solitons in graphene nanodisk arrays

We study nonlinear modes in arrays of doped graphene nanodisks with Kerr-type nonlinear response in the presence of an external electric field. We introduce a theoretical model describing the evolution of the nanodisks' 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 in this discrete model under controlling guidance of the external driving field.