  Theoretical model for the radiation linewidth in a multi-fluxon state of a
long Josephson junction is presented. Starting from the perturbed sine-Gordon
model with the temperature dependent noise term, we develop a collective
coordinate approach which allows to calculate the finite radiation linewidth
due to excitation of the internal degrees of freedom in the moving fluxon
chain. At low fluxon density, the radiation linewidth is expected to be
substantially larger than that of a lumped Josephson oscillator. With
increasing the fluxon density, a crossover to a much smaller linewidth
corresponding to the lumped oscillator limit is predicted.
