wave vs brandish

wave and brandish both are nouns.

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

As nouns, brandish is a hyponym of wave; that is, brandish is a word with a more specific, narrower meaning than wave:

Other hyponyms of wave include flourish.

As verbs, wave and brandish are synonyms defined as:

Other synonyms of wave include flourish.

wave (noun)	brandish (noun)
a movement like that of a sudden occurrence or increase in a specified phenomenon	the act of waving
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

wave (verb)	brandish (verb)
set waves in	move or swing back and forth
signal with the hands or nod	exhibit aggressively
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