Dynamic states in parallel one-dimensional arrays of small Josephson t
unnel junctions are experimentally investigated in the presence of an
external magnetic field H. In addition to conventional Fiske modes and
flux-flow branches, the current-voltage characteristics exhibit a new
type of resonances which appear in higher voltage regions as addition
al groups of resonant steps. These resonances can be explained in term
s of a simple kinematic model, in the limit where the fluxon frequency
is higher than the maximum linear wave frequency. The model is in goo
d agreement with reported experiments.