Phase locking between Fiske and flux-flow modes in coupled sine-Gordon systems

We investigate nonlinear resonant modes in coupled sine-Gordon systems with open boundary conditions. The system models coupled Josephson junctions with boundary conditions representing the situation where an external magnetic field is applied. The so-called Fiske modes are found to exist in phase-locked states where the equivalent voltages across the individual coupled Josephson junctions are either identical or identical with opposite signs. The analysis covers all Fiske modes including the flux-flow region. We present a comprehensive comparison between results on analytical treatment and direct numerical simulations of the coupled field equations.