The flux-flow mode in a long one-dimensional Josephson junction is studied
analytically. An approximate steady-state solution of the perturbed sine-Go
rdon equation is derived in the form of a dense fluxon chain accompanied by
small-amplitude plasma waves. Next, some time-averaged quantities are calc
ulated, making it possible to evaluate the constant bias current and the co
nstant voltage between the junction electrodes. The analytical results are
compared with numerical simulations both for the field distribution within
the junction and for the I-V characteristics. [S0163-1829(99)12533-5].