The Jojo card is a smartcard, based on the Swedish side, but valid on the Øresund trains. It allows a discount on the standard one-way train fares:

http://www.skanetrafiken.se/template...epslanguage=EN

The "around the Sound" ticket is an excursion fare, intended for travellers based in Sweden to do a round-robin trip via Denmark, using the Helsingør ferry in one direction, and the Øresund bridge in the other, but which can be used for unlimited travel otherwise:

http://www.skanetrafiken.se/template...epslanguage=EN

Both can only be bought in Sweden.