Puephing 

Puking and coughing at the same time.

I feel so sick! I was up puephing all night long.

Puephing by Jarvyy November 23, 2011

Peuphing 

to puke and cough at the same time

Dude, I feel so sick, I was up peuphing all night.

Peuphing by Jarvys June 15, 2011