The electrodynamic properties of the long Josephson junction for the c
ase of two-phase wave train are investigated by means of asymptotic so
lutions of the perturbed ''sine-Gordon'' equation in the form of the W
hitham equations describing the modulation of its period matrix within
the power balance approximation. The corresponding current-voltage ch
aracteristic is calculated in terms of Riemann theta-functions and ana
lyzed numerically for the zero magnetic field. The resonance peaks of
the characteristic are shown to correspond to the reduction condition
for the period matrix. Copyright (C) 1998 Elsevier Science B.V.