You can use:
var tomorrow = new Date();
tomorrow.setDate(tomorrow.getDate()+1);
For example, since there are 30 days in April, the following code will output May 1:
var day = new Date('Apr 30, 2000');
console.log(day); // Apr 30 2000
var nextDay = new Date(day);
nextDay.setDate(day.getDate() + 1);
console.log(nextDay); // May 01 2000
See fiddle.