Quick research found these:http://www.centauri-dreams.org/?p=19669https://sciencefictionruminations.wordpress.com/science-fiction-book-reviews-by-author/list-of-generation-ship-novels-and-short-stories/
Drive: How does the ship start, stop and turn? This question also speaks to destination. If the destination is known, then the drive can be constant, then a flip at the halfway point to slow down. If the destination is unknown, then the operators might not want to travel so fast that turns take tens of years once a destination has been chosen.
Biggest problem IMHO: Running into stuff along the way. Star Trek has deflector screens (whatever those are). Science has F=ma, which is a long lever arm at extreme velocity. Little bitty things can do a lot of damage. In one SF story that I wrote, my crew swiped Europa for water, power and a shield. This also has a lot to do with the drive question since there might be things out there that are too big to safely absorb a hit from.
The social and psychological questions are your playthings. Most generation ship stories deal with problems arising from isolation. NASA carefully screens candidates because they don't want nutcases in charge of billion dollar equipment, so they might have research available.
Sustainability is a current catchword in business, but it is the only word for a colony ship. Building to last several generations worth of teen hooligans has fueled many stories.
A last bit of research that must be done for complete scientific accuracy is soil science. Plants that sustain us are themselves sustained by soils that contain a myriad of bacteria. Life support systems for water and waste and air and its filtration are all well and good, but soil dominates the world of food as humans know it. And soil will dominate exo-colonization efforts.
Sleeper ships? If illness or injury has ever forced you to remain in bed for an extended period, you know that remaining in one position has its problems. Skin can become necrotic after less than one day if a coma victim is not moved. Authors create stasis fields and suspension tanks and all manner of soft science fantasy to deal with the problem. I avoid sleepers, but there are lots of stories that involve rotating shifts and bad stuff happening in the mean time.
My favorite is the Ringworld series by Larry Niven.