It is also called wave mechanics because quantum mechanics governed by Schrodinger's wave equation in it's wave-formulation.

compression wave is a wave like a sound wave

When you have the complete compression and rarefaction of a longitudinal wave, that is one complete wave.

Draw a series of isobar lines, making them bunch together in one part of the drawing. The area where they bunch is the compression wave, now animate the drawing to make the bunching move across the drawing.

You now have what you requested.

A compression wave.