I understand that many fighters use drogue parachutes and wheel brakes. But aren't there other methods of slowing down after touchdown?
The primary (and most effective) method to slow the jet down is aerobraking.
In the T-38 at ~130 knots full aft stick is applied at a rate that prevents the jet from becoming airborne again. The stick will be back towards the seat pan. Fly the nosewheel down to the runway at ~100 knots and apply wheel brakes.
In the F-16 the max aerobraking occurs at 13 AOA with speed brakes extended. You do not want to exceed 15 degrees of pitch angle to prevent scraping the burner can and speed brakes. The speed brakes will not fully extend while the nosewheel is not on the runway (however, it can be overridden but increases the possibility that the speed brakes will scrape).
In either case you do not want to let the nosewheel fall. You also do NOT apply wheel braking until the nosewheel is down.
Another way to slow fighter jets down, is by using airbrakes. These are basically two big flaps (usually located at the end of the aircraft) that extend into the flow. I think the airbrakes do most of the braking in the approach phase (as it is a good way to dissipate kinetic energy fast), but i'm pretty sure they're also used to slow down during the roll out.
Here's an image showing an F-16 landing with the airbrakes extended, the two protruding flaps at the end are the airbrakes.
As a bonus, here's a picture of one of the first airbrakes in the book Popular Science (1932):