The noun wave has 9 senses (first 6 from tagged texts)
1. (40) wave, moving ridge -- (one of a series of ridges that moves across the surface of a liquid (especially across a large body of water))
2. (9) wave -- (a movement like that of a sudden occurrence or increase in a specified phenomenon; "a wave of settlers"; "troops advancing in waves")
3. (7) wave, undulation -- ((physics) a movement up and down or back and forth)
4. (2) wave -- (something that rises rapidly; "a wave of emotion swept over him"; "there was a sudden wave of buying before the market closed"; "a wave of conservatism in the country led by the hard right")
5. (1) wave, waving, wafture -- (the act of signaling by a movement of the hand)
6. (1) wave -- (a hairdo that creates undulations in the hair)
7. wave, undulation -- (an undulating curve)
8. wave -- (a persistent and widespread unusual weather condition (especially of unusual temperatures); "a heat wave")
9. Wave -- (a member of the women's reserve of the United States Navy; originally organized during World War II but now no longer a separate branch)
Overview of verb wave
The verb wave has 5 senses (first 3 from tagged texts)
1. (21) beckon, wave -- (signal with the hands or nod; "She waved to her friends"; "He waved his hand hospitably")
2. (5) brandish, flourish, wave -- (move or swing back and forth; "She waved her gun")
3. (4) roll, undulate, flap, wave -- (move in a wavy pattern or with a rising and falling motion; "The curtains undulated"; "the waves rolled towards the beach")
4. curl, wave -- (twist or roll into coils or ringlets; "curl my hair, please")
5. wave -- (set waves in; "she asked the hairdresser to wave her hair")