Misuses of the term

Compound verb" is often used in place of:

"complex verb", a type of complex phrase. But this usage is not accepted in linguistics, because "compound" and "complex" are not synonymous.
"verb phrase" or "verbal phrase". This is a partially, but not entirely, incorrect use. A phrasal verb can be a one-word verb, of which compound verb is a type. However, many phrasal verbs are multi-word.
"phrasal verb". A sub-type of verb phrase, which have a particle as a word before or after the verb.