Pulse wave: A pulse wave is a non-repeating wave; single disturbance.
Periodic : Periodic waves are waves that repeat at regular intervals. they require regularly repeating disturbances in order to be considered a periodic wave.
Longitudinal: A longitudinal wave is when several turns of the spring are compressed and released. The disturbance is in the same direction as the direction of travel. This wave occurs lengthwise.
Transverse: This wave occurs sideways. The spring is pulled sideways at a 90 degree angle (right angle) then released. The wave will travel across instead of lengthwise.