Green’s Dictionary of Slang

gurk v.

[echoic]

1. to belch; also as n.

[UK]J. Manchon Le Slang.
[UK]N. Armfelt Catching Up 12: Warwick seemed impatient to keep Graham drinking. [...] Graham gurked, and his gurk felt a bit full.
J. Lees-Milne Heretics in Love 30: Star said, ‘Uncle Bertie, hiccups are funny, aren’t they?’ ‘Well, they sometimes are,’ the Colonel said. I said, ‘But gurks aren't, are they, Uncle Bertie?’ ‘No, they're unfunny’ Star said, ‘And farts aren't either, are they, Uncle Bertie?’ ‘No, they're disgusting’.

2. (Aus.) to break wind.

[Aus]Baker Popular Dict. Aus. Sl.
D.L. Flusfeder Like Plastic 94: He odorised the room with the gay scent of last night’s vindaloo. He crepitated with joy. He gurgled with pleasure. He let rip. He gurked.