Similarities:
-Both shows deal with school bullying
-Both have a mystery behind student's death/accident
-Both focus on the aftermath of tragedy
-Both have negligent adults/teachers (not the victim's parents but other classmates' parents)

Differences:
-Unlike Beautiful World, Solomon's Perjury focuses more on the classmates of the student victim whereas BW focuses on the victim's family and their struggles with the tragedy

-Also, the students in SP attempt to investigate the tragedy through a "school trial" whereas in BW the parents are the ones to investigate their son's accident