Wave

verb

1. To move back and forth repeatedly and somewhat loosely.

   "The flag waved in the gentle breeze."

2. To move one’s hand back and forth (generally above the shoulders) in greeting or departure.
3. (metonymic) To call attention to, or give a direction or command to, by a waving motion, as of the hand; to signify by waving; to beckon; to signal; to indicate.

   "I waved goodbye from across the room."

4. To have an undulating or wavy form.
5. To raise into inequalities of surface; to give an undulating form or surface to.