This answer contains spoilers… (view spoiler)[Beatrice died. She was taken by the Boatman to the isle of the dead, which is reminiscent of Arthur being taken to the Isle of Avalon (or Bilbo and Frodo going to the Undying Lands.) In this novel, unlike the Arthurian romances or in Tolkien's work, the promises of the isle, the fantastical stories, are understood to be fantasy -- you are NOT permitted to go there with your loved one, no matter how much you truly loved them, we all go to death alone. The Boatman is always a liar. Axl, who is wise to the ways of men, and the world, realizes this, says good bye to his good wife, and strides away, after saying a last good bye to the love of his life. We had been told many times that Beatrice has pains, is sick, and Gawain intimates that it's clear she's on death's door. The story of the isle, where true loves will be allowed to stay together forever, is very reminiscent of the belief in Never Let Me Go that the cloned students have -- that if you truly fall in love with someone, are capable of human love, you will be allowed to live out your life and not 'complete." That is a pleasant lie as well. (hide spoiler)]
James (JD) Dittes I agree with Van, but I would add that Axl (like the widows of war who attack the Boatman and Sir Gawain) is destined to live longer, without Beatrice, until he can join his son and wife in death.