The wave-like movement of the oesophagus which enables the transport of food from the mouth to stomach is called:
Peristalsis
Peristalsis is a series of wave-like muscle contractions that moves food to different processing stations in the digestive tract. The process of peristalsis begins in the oesophagus when a bolus of food is swallowed. Peristalsis is characterized by alternate contraction and relaxation, which pushes ingested food through the digestive tract towards its release through the anus.