Sounds easier said than done with something that big, and I imagine, isolated and numb.(?)I'll bite.
I just flew that arrival last night in a 747-400; luckily all the engines kept turning.
The decision would depend on your altitude. Between SIE and ACY you would normally still be at about FL250, which gives you at least a very conservative 75NM range. ACY, WRI, and DOV would all be decent options, I guess.
You'd want to stay in the engine start envelope speed-range for a few minutes while you run the multiple engine flameout/stall checklist and attempt to get your failed engines running again. At some point, if you're unsuccessful, you'll slow to your drift down speed while you fly toward your selected diversionary airport. If you get one or more engines restarted, the airplane will be able to maintain altitude before hitting sea level so you gain more time.
On one engine obviously you're going to need to manage your energy very carefully, but most of your critical systems should be functioning normally. I don't see a need to resort to ditching unless you get into a situation where there's no alternative.
That's just my opinion. This isn't an oft-addressed scenario in 4 engine jets, because the odds that 3 would fail and you'd be unable to restart at least one of them are pretty slim.
In pretty much ANY plane (except for one on floats I guess) I'd rather touch down on a runway that may not be long enough and plow off the end at a slow(er) airspeed than try to land on the backside of a wave.If that oddly specific scenario occured there, I'd go with Alchemy's answer. Sureas hell wouldn't ditch.
The article states that they can fly up to 15,000'. Although impressive, it's still 10k short of 25,000' and it's not a Canada goose as presented to us by the OP. There is a goose that regularly migrates over the Himalayas (http://en.wikipedia.org/wiki/Bar-headed_Goose) but that wouldn't be found on the CAMRN 4 arrival into JFK. I seem to remember that Canada geese have been reported up to 10,000'.
Just cuious...Do you guys have any 3EO data? Haven't seen anything anywhere. Driftdown for 2EO even at roughly 800,000 lbs and hot puts you at a level-off above 10k.If it's light enough, it'll fly on one.
That being said, I can see the loss of 2 if one frags and damages the one next to it.
I can see loss of all 4 from ash or bad gas.