abandon vs waive

abandon is a noun but waive is not a noun.

Word	Noun	Adjective	Verb	Adverb
abandon	Yes	No	Yes	No
waive	No	No	Yes	No

As verbs, waive is a hyponym of abandon; that is, waive is a word with a more specific, narrower meaning than abandon:

abandon: forsake, leave behind
waive: lose (something) or lose the right to (something) by some error, offense, or crime

Other hyponyms of abandon include chuck, ditch, dispense with, forego, forfeit, forgo, give up, throw overboard, consign.

abandon (noun)	waive (noun)
the trait of lacking restraint or control; reckless freedom from inhibition or worry
a feeling of extreme emotional intensity

abandon (verb)	waive (verb)
leave someone who needs or counts on you; leave in the lurch	lose (something) or lose the right to (something) by some error, offense, or crime
stop maintaining or insisting on; of ideas or claims	do without or cease to hold or adhere to
leave behind empty; move out of
forsake, leave behind
give up with the intent of never claiming again