A big problem for American and other airlines is that corporate travel has fallen off a cliff. Horton said the drop in corporate travel revenue was "significantly more" than the 15% drop in overall revenue. In particular, transatlantic travel fell nearly 18%, driven largely by weak corporate demand, Horton said. That could portend problems for Continental ( CAL) and Delta ( DAL), both major transatlantic carriers who report next week. Arpey noted that "corporations travel for a reason. Travel is integral to what many companies do in our country. Therefore, I think if we can get the economy stabilized and improving, companies can turn the travel back on just as quickly as they've turned it off."