650+ Boy Names That End in -en

Bexen occasionally pops up as a surname and place name in Germany and elsewhere in Mitteleuropa, probably drawn from the German name Beck, which means "brook". As a first name, though, Bexen is probably an American invented name, perhaps a splice of Jaxen, a Jackson variation, and Bexley, a Top 1000 name for girls.

Ibsen is a literary hero name possibility, after the great Norwegian dramatist, Henrik I. The name Ib is a short form of Jacob, so you might consider Ibsen as an honorific for or a twin of a Jacob.