move ahead vs travel

move ahead is not a noun while travel is a noun.

Word	Noun	Adjective	Verb	Adverb
move ahead	No	No	Yes	No
travel	Yes	No	Yes	No

As verbs, travel is a hypernym of move ahead; that is, travel is a word with a broader meaning than move ahead:

Other hypernyms of move ahead include go, locomote, move.

move ahead (noun)	travel (noun)
	the act of going from one place to another
	self-propelled movement
	a movement through space that changes the location of something

move ahead (verb)	travel (verb)
move ahead; travel onward in time or space	change location; move, travel, or proceed, also metaphorically
	make a trip for pleasure
	travel upon or across
	undergo transportation as in a vehicle
	undertake a journey or trip
	travel from place to place, as for the purpose of finding work, preaching, or acting as a judge