Fluxon dynamics and resonances in stacked arrays of Josephson junctions

We consider a structure consisting of two parallel arrays of long Josephson junctions sharing a common electrode that allows inductive coupling between the arrays. Cavity modes excitations exhibiting 2D synchronization as well as solitonic excitations are inferred from the mathematical model of the system. The stable coherent solitonic solution of the coupled sine-Gordon equations describing the system is found to consist of a fluxon-antifluxon string travelling in the structure.