FLUX-FLOW MODE IN THE SINE-GORDON SYSTEM

An inverse transformation of the theta function is derived, making it possible to investigate a multiperiodic solution of the sine-Gordon eq uation in the limit of a dense sequence of overlapping solitons. A spe cial case of a unidirectional soliton train interacting with small-amp litude quasi-linear oscillations is discussed as a simple model of the flux-flow state in a long one-dimensional Josephson junction. Approxi mate analytical solutions for the dispersion parameters are compared w ith numerical results. (C) 1998 Elsevier Science B.V.