What kind of wave is a wave in which the matter in the wave moves in the same direction as the wave?

The type of wave in which the matter in the wave moves in the same direction as the wave itself is called a longitudinal wave. In a longitudinal wave, the particles of the medium oscillate back and forth parallel to the direction of energy transport. This is in contrast to a transverse wave, where the particles oscillate perpendicular to the direction of energy transport. Sound waves are a common example of longitudinal waves.