Influence of the $cos\phi$ conductance on fluxons propagating in long Josephson junctions

The influence of a $cos\phi$ conductance on the motion of fluxons in long and narrow Josephson junctions is investigated by numerical computations and by a perturbation analysis. It turns out that the presence of the $cos\phi$ term will have opposite effects on the motion of a fluxon and on plasma waves or breathers. If the fluxon motion is damped, the plasma waves are enhanced by the $cos\phi$ term and vice versa. The presence of loss and bias results, in any event, in stabilization of the fluxon in a stationary motion. Good agreement between the numerical result for fluxon motion and the perturbation analysis is found.