write vs write about

write and write about both are verbs.

Word	Noun	Adjective	Verb	Adverb
write	No	No	Yes	No
write about	No	No	Yes	No

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

write (verb)	write about (verb)
communicate or express by writing	write about a particular topic
record data on a computer
contact in writing
produce a literary work
mark or trace words or symbols on a surface
write or name the letters that comprise the conventionally accepted form of (a word or part of a word)
write music
create code, write a computer program