Trajan's rhymes with:
cajuns, allergens, antigens, belgians, cajuns, carcinogens, collegians, dungeons, engine's, engines, georgians, hodgens, hudgens, hydrogens, imagines, legions, margins, neurosurgeons, norwegians, pathogens, pigeon's, pigeons, region's, regions, religion's, religions, sturgeons, surgeon's, surgeons, theologians, trojans, virgin's, virgins
Trajan's sounds like:
tarzan's, terrorizing, terseness, theorizing, thoroughness, thrashing, torching, tracing, tracking, tragicomic, trashing, tregoning, trekking, tricking, trojanowski, trojans, trucking, trzcinski