At this point I'd just make sure I was watering deeply as opposed to several times with less water. Don't put any compost on your lawn because with the heat it will burn. It may take a little while for your lawn to bounce back but if its Bermuda there's no way its dead.

You may want to rule out chinch bugs since they have been bad this year. Although they seem to prefer St. Augustine, they can affect bermuda lawns. Take a tuna or cat food can and cut off both the top and bottom and sink the can about an inch deep in the brown area of your lawn. Water the area to where the can fills up with water and see if there are a bunch of little bugs floating on the top. If so, you have chinch bugs and will need to treat your lawn. I had to treat my lawn last week for chinch bugs since it was beginning to look like someone had thrown gasoline on it. I'm starting to see some green this week. Good luck!