For starters, make certain your cooking gear is truly clean. Wash the stove in soapy water, towel and air dry, and spray a little silicon lubricant onto moving parts if needs be. Do the same for a fuel bottle. One Gear Guy reader suggested filling a thoroughly cleaned fuel bottle with water and taking it on board as your beverage container. I've heard worse ideas.
Next, check with the airline. Call aheaddon't wait until you get to the airport before discovering there'll be a problem. If someone over the phone tells you, "Sure, if you do X, then you can take a stove on board," get his or her name and details if you can. Besides, if you find that the airline absolutely, positively won't take stoves, then you can begin making a backup plan. Plan B: Buy a brand-new stove and leave it in the packing carton. OK, that's $50 or more, but you're probably spending many times more than that for the trip, so big deal. Keep in mind that white gas stoves typically are test-burned, container-fuel ones are notthat may have a bearing on the success of taking one aboard.
The bottom line: be proactive, prudent, and flexible. If your stove ends up confiscated, at least it can be replaced.