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Synonyms for Wave (same or very similar meaning)

WordNet sense 1 (an undulating curve):

WordNet sense 2 (one of a series of ridges that moves across the surface of a liquid (especially across a large body of water)):
moving ridge

WordNet sense 3 (the act of signaling by a movement of the hand):
wafture, waving

WordNet sense 4 (move in a wavy pattern or with a rising and falling motion):
flap, roll, undulate

WordNet sense 5 (move or swing back and forth):
brandish, flourish

WordNet sense 6 (twist or roll into coils or ringlets):

WordNet sense 7 (signal with the hands or nod):

From the ODE community, based on WordNetadd/edit