When someone pukes, they vomit. [informal]
He's puked. [VERB]
They got drunk and puked out the window. [VERB]
Synonyms: vomit, be sick, throw up [informal], spew
Puke up means the same as puke.
He peered at me like I'd just puked up on his jeans. [VERB PARTICLE]
I figured, why eat when I was going to puke it up again? [VERB noun PARTICLE]