The name seems to be in reference of the odd combination of a flame-grilled pork patty and spicy crispy-fried chicken patty to go along with mayo, teriyaki sauce, lettuce, and onions.
Also featured on the Double King menu are the Double BBQ and Hash & Cheese. As the names suggests, the Double BBQ features double pork patties and barbecue sauce, while the Hash & Cheese features a pork patty and hash brown along with two cheeses and Caesar dressing.
Image via Burger King Japan.