Working with dates in javascript is always a bit of a hassle. I always end up using a library. Moment.js and XDate are both great:
Fiddle:
var $output = $('#output'),
tomorrow = moment().add('days', 1);
$('<pre />').appendTo($output).text(tomorrow);
tomorrow = new XDate().addDays(-1);
$('<pre />').appendTo($output).text(tomorrow);
?