moving one's hand to and fro in greeting or as a signal

the waving crowds

moving to and fro with a swaying motion while remaining fixed to one point

the waving flag

waving palm trees

(of hair) growing with a slight curl

thick, waving grey hair sprouted back from his forehead

move one's hand to and fro in greeting or as a signal

he waved to me from the train

move to and fro with a swaying motion while remaining fixed to one point

the flag waved in the wind

style (hair) so that it curls slightly

her hair had been carefully waved for the evening