Public transportation is operated by BKV Budapest Public Transportation.
You can travel to many cities within Hungary using the train system. Taking intercity trains is the fastest way to travel to/from Budapest from the following cities: Bekescsaba, Debrecen, Dombovar, Gyor, Gula, Hajduszoboszlo, Kaposvar, Kecskemet, Miskolc, Nyiregyhaza, Pecs, Sopron, Szeged, Szolnok, and Szombathely.
In all Hungarian train stations a yellow board indicates departures (indul) and a white board shows arrivals (érkezik). Express trains are indicated in red, local trains in black. In some stations, large black-and-white schedules are plastered all over the walls. To locate the table you need, first find the posted railway map of the country, which indexes the route numbers at the top of the schedules.
Eurail Passes may be purchased for travel in Hungary.