Pulse wave is a singular non-repeating wave, a single disturbance

This is also a transverse wave, this wave is when the spring is pulled side ways to make a right angle, the disturbance is on a right angle to the direction the wave will travel.

This is a periodic wave, it is recurring at regular intervals, it is repeating disturbances.

This is a longitudinal wave, several rings of the spring are compressed and then let go, the disturbance is in the same direction of the direction of travel.