Physically Small 2000-ish Watt 12-volt Pure Sine Inverter

[Rabbit]

I am considering building a project purely for fun. To make it work, I'll need a 1500 (no smaller) to 2000-ish watt 12-volt inverter that's no more than roughly 12" long. It can be up to 12" wide as well, but no more than about 12" on any one side. I cannot make this work, with, say, multiple 600 watt units. Any ideas? Thanks!