  Considering a double-headed Brownian motor moving with both translational and
rotational degrees of freedom, we investigate the directed transport properties
of the system in a traveling-wave potential. It is found that the traveling
wave provides the essential condition of the directed transport for the system,
and at an appropriate angular frequency, the positive current can be optimized.
A general current reversal appears by modulating the angular frequency of the
traveling wave, noise intensity, external driving force and the rod length. By
transforming the dynamical equation in traveling-wave potential into that in a
tilted potential, the mechanism of current reversal is analyzed. For both cases
of Gaussian and Levy noises, the currents show similar dependence on the
parameters. Moreover, the current in the tilted potential shows a typical
stochastic resonance effect. The external driving force has also a
resonance-like effect on the current in the tilted potential. But the current
in the traveling-wave potential exhibits the reverse behaviors of that in the
tilted potential. Besides, the currents obviously depend on the stability index
of the Levy noise under certain conditions.
