wave-v; 4 Senses

Sense Number 1: move an object back and forth with the intent to communicate

Commentary: Syntax is: NP1[animate] WAVE (NP2[concrete]) PP NP3[recipient]
NOTE: There must be a recipient either stated or implied.

She waved to her father as the train pulled away from the station.
He enthusiastically waved his greeting to the newcomers.
'This land' my father said as he waved his arm in a circle, 'Will
one day be yours.'
As the car drove by, I waved my arms frantically to get their attention.

VerbNet: wink-40.3.1-1
FrameNet: Gesture,Body_movement
PropBank: wave.01
WordNet 0.0 Sense Numbers: 1

Sense Number 2: (cause to) move or swing back and forth

Commentary: Syntax includes: NP1[concrete] WAVE NP1[animate] WAVE NP2[concrete]

He waved the piece of paper.
The flag waved in the breeze.

VerbNet: modes_of_being_with_motion-47.3
FrameNet: Moving_in_place
PropBank: wave.01
WordNet 0.0 Sense Numbers: 2, 3

Sense Number 3: dress someone's hair into waves

She asked the hairdresser to wave her hair.

VerbNet: braid-41.2.2
FrameNet: NM
PropBank: NM
WordNet 0.0 Sense Numbers: 4, 5

Sense Number 4: dismiss

Commentary: Includes: WAVE OFF, WAVE AWAY

She waved them off weakly from her hospital bed.
He waved off suggestions of impropriety.
Those in the know wave away such talk as a bluff.

VerbNet: NM
FrameNet: NM
PropBank: wave.02
WordNet Verb Particle Constructions, Multiword Expressions:
wave_off 1