To work, study, or write laboriously, esp. late at night.
To write in a scholarly manner.
To study or write in a scholarly fashion.
The definition of lucubrate is to write or study very hard or to write in an intelligent and learned manner.
When you write and study hard at night, this is an example of a situation where you lucubrate.
Origin of lucubrate
From Latin lÅ«cubrÄtus, perfect passive participle of lÅ«cubrÅ (“work by candlelight"), from lÅ«x (“light").