wallow vs indulge

wallow is a noun but indulge is not a noun.

Word	Noun	Adjective	Verb	Adverb
wallow	Yes	No	Yes	No
indulge	No	No	Yes	No

As verbs, indulge is a hypernym of wallow; that is, indulge is a word with a broader meaning than wallow:

wallow: devote oneself entirely to something; indulge in to an immoderate degree, usually with pleasure
indulge: give free rein to

wallow (noun)	indulge (noun)
an indolent or clumsy rolling about
a puddle where animals go to wallow

wallow (verb)	indulge (verb)
delight greatly in	yield (to); give satisfaction to
devote oneself entirely to something; indulge in to an immoderate degree, usually with pleasure	enjoy to excess
be ecstatic with joy	treat with excessive indulgence
roll around	give free rein to
rise up as if in waves