What do waves not take with them as they travel

They do not take the water (or the items in the water) with them. They only carry energy.

They do not transport water, if thats the question.

Explanation:

Classical waves transfer energy without transporting matter through the medium. Waves in a pond do not carry the water molecules from place to place; rather the wave's energy travels through the water, leaving the water molecules in place, much like a bug bobbing on top of ripples in water.