Answer: In a prism! Tsyganov "Spontaneous traveling waves in oscillatory systems with cross diffusion", Phys. The particles that comprise the wave do not move from A to B, they oscillate about their fixed equilibrium points.
Retrieved Spiegel "Waves of solar activity". The result is that energy is transported from one end of the medium to the other end of the medium without the actual transport of matter.
In such instances, rather than observing the pure shape of a sine wave pattern, a rather irregular and non-repeating pattern is produced in the cord that tends to change appearance over time.
For example, a wave on a stretched string.