The Zambezi Express runs three days a week between Livingstone-Lusaka and three days a week through Livingstone-Kapiri Mposhi-Ndola-Kitwe (The Thomas Cook Overseas Timetable claims far more frequent connections). These trains have Sleeper, 2nd class and 3rd class. Sleeper have 2 berth compartments. No towels are provided. 2nd class is reclining seats 2+2. 3rd class is hard benches. Only bistro cars. To Mulobezi there is 3rd class only. No dining cars. ZR trains are pretty ill maintained and often run very late.

More informations here:

http://www.zambiatourism.com/transport/train