jquery (or pure js) simulate enter key pressed for testing

Demo Here

var e = jQuery.Event("keypress");
e.which = 13; //choose the one you want
e.keyCode = 13;
$("#theInputToTest").trigger(e);

For those who want to do this in pure javascript, look at:

Using standard KeyboardEvent

As Joe comment it, KeyboardEvent is now the standard.

Same example to fire an enter (keyCode 13):

const ke = new KeyboardEvent('keydown', {
    bubbles: true, cancelable: true, keyCode: 13
});
document.body.dispatchEvent(ke);

You can use this page help you to find the right keyboard event.

Outdated answer:

• initKeyboardEvent for IE9+, Chrome and Safari
• initKeyEvent for Firefox

You can do something like (here for Firefox)

var ev = document.createEvent('KeyboardEvent');
// Send key '13' (= enter)
ev.initKeyEvent(
    'keydown', true, true, window, false, false, false, false, 13, 0);
document.body.dispatchEvent(ev);