Remove the foil and wrap the bottom of the bottle in a towel.
Striking firmly, repeatedly hit the bottom of the bottle flush against a hard, vertical surface that has a little give. A tree trunk is perfect. Indoors, cushion the bottle’s base in a shoe, and hit it against a wall. The cork will start to protrude.
After the cork is about halfway out, carefully pry it out with your hand. (If the drink is carbonated, wait 15 minutes before prying.)