jquery datepicker focus event

I have 2 datefields in a form using jquery datepicker. Clicking the first field and choosing a date will autofill the second datefield with the choosen date of datefield1 + one day - Everything is working fine.

But if I click the submit-button of the form the date of the second datefield (thats autofilled) is not transmitted, this means its empty. But if I click the second datefield manually and choose a date via datepicker, the date is submitted correctly thru the form.

Is there any possibility to set the second (autofilled) datefield as clicked or something like that, so that the second date ist submitted correctly?

Here is the script:

$(function() {

    $(document).ready(function () {

        $("#dt1").datepicker({
            dateFormat: "dd-M-yy",
            minDate: 0,
            onSelect: function (date) {
                var date2 = $('#dt1').datepicker('getDate');
                date2.setDate(date2.getDate() + 1);
                $('#dt2').datepicker('setDate', date2);
                //sets minDate to dt1 date + 1
                $('#dt2').datepicker('option', 'minDate', date2);
            }
        });
        $('#dt2').datepicker({
            dateFormat: "dd-M-yy",
            onClose: function () {
                var dt1 = $('#dt1').datepicker('getDate');
                console.log(dt1);
                var dt2 = $('#dt2').datepicker('getDate');
                if (dt2 <= dt1) {
                    var minDate = $('#dt2').datepicker('option', 'minDate');
                    $('#dt2').datepicker('setDate', minDate);
                }
            }
        });
    });

Regards Schani

Found a solution by myself. Simply but $('#dt2' ).focus(); in the first function:

$("#dt1").datepicker({
        dateFormat: "dd-M-yy",
        minDate: 0,
        onSelect: function (date) {
            var date2 = $('#dt1').datepicker('getDate');
            date2.setDate(date2.getDate() + 1);
            $('#dt2').datepicker('setDate', date2);
            //sets minDate to dt1 date + 1
            $('#dt2').datepicker('option', 'minDate', date2);
$('#dt2' ).focus();
        }
    });
    $('#dt2').datepicker({
        dateFormat: "dd-M-yy",
        onClose: function () {
            var dt1 = $('#dt1').datepicker('getDate');
            console.log(dt1);
            var dt2 = $('#dt2').datepicker('getDate');
            if (dt2 <= dt1) {
                var minDate = $('#dt2').datepicker('option', 'minDate');
                $('#dt2').datepicker('setDate', minDate);
            }