  We consider the Kuramoto model of an ensemble of interacting oscillators
allowing for an arbitrary distribution of frequencies and coupling strengths.
We define a family of traveling wave states as stationary in a rotating frame,
and derive general equations for their parameters. We suggest empirical
stability conditions which, for the case of incoherence, become exact. In
addition to making new theoretical predictions, we show that many earlier
results follow naturally from our general framework. The results are applicable
in scientific contexts ranging from physics to biology.
