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