To move one's hand back and forth as a greeting or signal. She waved at her friend across the street.
To move freely back and forth or up and down in the air, as a flag or hair. The flag waved in the breeze.
To signal or direct someone to move in a particular direction by moving one's hand. The officer waved the cars through the intersection.
To dismiss or ignore something, often with a gesture. He waved away her concerns with a laugh.
To shape or arrange (hair) so that it forms curls or undulating ridges. The stylist waved her hair for the vintage photoshoot.