From aa.com:
Q: I have lost my ticket. What do I do now?
A: It depends on if you have a refundable or nonrefundable ticket.
REFUNDABLE TICKETS: You may visit our Ticket Refunds Site to submit a Lost Ticket Application online. You may also obtain a Lost Ticket Application from your travel agent, the airport, an American Airlines Travel Center, or via fax by calling 1-918-254-3777 and following the menu options. Complete the application and forward it to the address listed on the form. There is a 90-day waiting period from the date we receive the application before a refund will be issued. If, at the end of the 90-day period, the ticket has not been used, a refund will be issued less a processing fee.
NONREFUNDABLE TICKETS: Prior to, or on the date of travel, you can go to the airport with your lost ticket number and get a replacement ticket by paying the lost ticket processing fee. You need to know your ticket number to have a replacement ticket issued and, if traveling that day, you should arrive early to give agents time to process your request prior to your departure time.
After the original travel date, you will need to purchase another nonrefundable ticket and complete your travel on American within one year from the original date of travel. After you have traveled, obtain the Lost Ticket Application as detailed above, complete the application and forward it to the address listed on the form (or submit online). There is a 90-day waiting period from the date we receive the application before a refund will be issued. If, at the end of the 90-day period, the ticket has not been used or refunded, a refund will be issued less a processing fee.
All Lost Ticket Applications must be submitted for refund consideration within thirteen (13) months of the original sale date of the lost ticket.
Others have been able to get their tickets replaced by paying the lost ticket fee. See, e.g.,
http://www.flyertalk.com/forum/showt...er+ticket+lost
http://www.flyertalk.com/forum/showt...er+ticket+lost