DVI, DVI-I, DVI Dual-link are the same thing, only that Dual-Link is part of DVI.
Look for a DVI cable.
Digital Visual Interface (DVI) is just type of interface and following falls under it:
DVI-D (digital only)
DVI-A (analog only)
DVI-I (digital & analog)
Both DVI-D and DVI-I could be either single link (1920x1200 resolution max) or duallink (2560x1600).
HDMI (High-Definition Multimedia Interface) could be explained as combination of duallink DVI+D and digital audio interface with high enough bandwith capable of transmitting uncompressed 7.1 audio.
@OP all you need is duallink DVI cable (single link will be enough, but as they cost about same duallink can be used with bigger display later)