Rake the area of your lawn that is burned thoroughly. If the fertilizer killed the crowns and roots of the grass, then you need to remove that dead material before restoring your lawn.
Water the area deeply so you see a small layer of standing water in the overfertilized area. Watering leaches salt away from the lawn's root zone. Wait a day for the water to drain before replanting.
Till the area where the dead grass has been removed with a 3-pronged hand tiller.
Put down a piece of sod over the prepared area. Depending on the size of the area, you may need several pieces of sod.
Press the sod into the ground with the end of a backhoe or a sod roller.
Water the sod thoroughly. The sod should be too wet to walk on for one week. Then, water every other day for an additional two weeks.