You will need to buy a power supply that can deliver 30 amps of 12 volt DC power from the AC mains that you have in your home country.
This will quite likely be a box of a similar size (although maybe a much different shape) to the amplifier itself.
It is ESSENTIAL that the positive and negative (usually red and black) DC wires from this supply are connected EXACTLY as per the Boss manual, kept as short as you can ...and made using the fattest wire possible, being AT LEAST 8 Gauge (or 8 AWG) or 2.5 sq. mm.
"Radio amateurs" and CB radio operators are familiar with regularly running automotive "mobile" equipment "at home", so their clubs and magazines are generally very good sources of information about the cheapest and highest quality regulated power supplies for exactly this sort of adaptation.
Getting a 12-Volt power supply isn't much of a problem, however, you'd need to somehow figure out how many volts does the 'subwoofer remote control wire' give out as then you can essentially think of something to power it up and get it running.
you could either get a dc power supply as mentioned below.. if you could not find a power supply thats enough that 30A + ... you can play with the gain and keep the sub on lower gain.. so it will draw less... which will cause less AMP draw.
as for connections, connect same power supply to the positive port (ignition and power line) and gnd to gnd. remote should work fine.
an alternative maybe better way for this is to either use a lipo battery and keep charging it ... be careful lipos must not go below certain minimum voltage and need a special lipo charger or it could catch on big fire.. but its easy to get a $3 voltage monitor for it... lipo like this http://www.hobbyking.com/hobbyking/store/__11956__Turnigy_nano_tech_5000mah_3S_45_90C_Lipo_Pack.html .. monitor fromt he same site for like $3.. and charger is around $20.
last alternative is to use a car battery at home, safest way to go, and a charger for it. you use and charge ... or keep charger always connected to it.
or build your own power supply, get dc transformers like 5 of them, depends on the amp, each transformer needs 4 diodes, u can google to circuit, very easy and a capacitor. to straightness the voltage output. i'v done that before and it worked really well
I can't say for sure, however maybe if you bought a small car battery, or had one laying around you could hook it up to that, and just charge it with one of the portable car battery jumping/charging boxes. If you look around on Youtube you should be able to find someone who uses a car amp in their house.
*I HAVE DONE IT* all you need is a old computer power supply, take it out of an unused desktop computer (or order a new one for $30-40 online) then all you have to do is wire in the power supply to the amp. Just search it on youtube, there are detailed video instructions, it took me about 10 minutes