How to get current date in jquery?

If you have jQuery UI (needed for the datepicker), this would do the trick:

$.datepicker.formatDate('yy/mm/dd', new Date());

Date() is not part of jQuery, it is one of JavaScript's features.

See the documentation on Date object.

You can do it like that:

var d = new Date();

var month = d.getMonth()+1;
var day = d.getDate();

var output = d.getFullYear() + '/' +
    (month<10 ? '0' : '') + month + '/' +
    (day<10 ? '0' : '') + day;

See this jsfiddle for a proof.

The code may look like a complex one, because it must deal with months & days being represented by numbers less than 10 (meaning the strings will have one char instead of two). See this jsfiddle for comparison.