wave vs flourish

wave and flourish both are nouns.

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

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

Other hyponyms of wave include brandish.

As verbs, wave and flourish are synonyms defined as:

Other synonyms of wave include brandish.

wave (noun)	flourish (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	a display of ornamental speech or language
the act of signaling by a movement of the hand	a showy gesture
(physics) a movement up and down or back and forth	(music) a short lively tune played on brass instruments
one of a series of ridges that moves across the surface of a liquid (especially across a large body of water)	an ornamental embellishment in writing
something that rises rapidly
a persistent and widespread unusual weather condition (especially of unusual temperatures)
an undulating curve

wave (verb)	flourish (verb)
set waves in	grow vigorously
signal with the hands or nod	move or swing back and forth
move or swing back and forth	make steady progress; be at the high point in one's career or reach a high point in historical significance or importance
twist or roll into coils or ringlets
move in a wavy pattern or with a rising and falling motion