I was unable to edit a PDF form using Evince on Ubuntu, some fields remained empty once I move cursor out of them after entering data on some reason, while other fields worked fine.
Fortunately I have found Master PDF Editor 3 from Code Industry which done job perfectly. It has a free version for non-commercial use. In addition to Evince functionality it supports interactive instructions embedded into PDF document helping to fill the form.
I have tested it on Ubuntu 16.04 and 16.10.