brandish vs wave

brandish and wave both are nouns.

Word	Noun	Adjective	Verb	Adverb
brandish	Yes	No	Yes	No
wave	Yes	No	Yes	No

As nouns, wave is a hypernym of brandish; that is, wave is a word with a broader meaning than brandish:

Other hypernyms of brandish include wafture, waving.

As verbs, brandish and wave are synonyms defined as:

Other synonyms of brandish include flourish.

brandish (noun)	wave (noun)
the act of waving	a movement like that of a sudden occurrence or increase in a specified phenomenon
	a hairdo that creates undulations in the hair
	the act of signaling by a movement of the hand
	(physics) a movement up and down or back and forth
	one of a series of ridges that moves across the surface of a liquid (especially across a large body of water)
	something that rises rapidly
	a persistent and widespread unusual weather condition (especially of unusual temperatures)
	an undulating curve

brandish (verb)	wave (verb)
move or swing back and forth	set waves in
exhibit aggressively	signal with the hands or nod
	move or swing back and forth
	twist or roll into coils or ringlets
	move in a wavy pattern or with a rising and falling motion