I would say it looks like a fairly directional softbox - perhaps with a honeycomb grid over it. Remember the basic rule of light, the closer it is to the subject, the more if falls off. To lower the contrast and get more even coverage, back it off. In this case I think you have your light in too close. Try backing it off a bit to say 4'. If the background starts to show up, that's easily solved by moving the model farther from the background and/or using a dark (black?) background to begin with, or possibly flagging it off. Also avoid the temptation to pump the contrast in a shot like this. This is a fairly full-toned image, some would say a bit dark on the skin (a little too much detail in the skin for my taste, unless it gets retouched), but notice the highlights - the dress, which was probably not white to start with because a white dress would have blown out. For this look, I used to use yellow or light blue clothes instead of white, because the clothes would inevitably become the whitest thing in the shot.
In this shot of Pamela Anderson from many years ago, she is almost wearing a powder-blue jacket, which is still washing out a bit (I do like pumped contrast, but would have preferred some detail here). But notice her skin, which was tan. As I said, the white would become too white and be distracting. I had to lights working here. One big (3.5'x8') softbox to her left for the main (no grid) about 4 or 5 feet away, and a plain reflectored flash head on the background aiming off to one side. You can see the light on her opposite shoulder and its still not blowing out her blonde hair. This was shot on Polaroid B/W slide film for the grainy look (and because it was "in" back then).
Just keep playing with it, you'll get it!
Andy Pearlman Studio