go forward vs move ahead

go forward and move ahead both are verbs.

Word	Noun	Adjective	Verb	Adverb
go forward	No	No	Yes	No
move ahead	No	No	Yes	No

As verbs, go forward and move ahead are synonyms defined as:

Other synonyms of go forward include continue, proceed.

go forward (verb)	move ahead (verb)
move ahead; travel onward in time or space	move ahead; travel onward in time or space