flourish vs wave

flourish and wave both are nouns.

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

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

Other hypernyms of flourish include wafture, waving.

As verbs, flourish and wave are synonyms defined as:

Other synonyms of flourish include brandish.

flourish (noun)	wave (noun)
the act of waving	a movement like that of a sudden occurrence or increase in a specified phenomenon
a display of ornamental speech or language	a hairdo that creates undulations in the hair
a showy gesture	the act of signaling by a movement of the hand
(music) a short lively tune played on brass instruments	(physics) a movement up and down or back and forth
an ornamental embellishment in writing	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

flourish (verb)	wave (verb)
grow vigorously	set waves in
move or swing back and forth	signal with the hands or nod
make steady progress; be at the high point in one's career or reach a high point in historical significance or importance	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