Shamsi Or Jalali Datepicker (Iranian Calendar) which contains all features of bootstrap-datepicker alongside with shamsi features.

Simply clone or download the source code and add this libraries to your page

<link href="/dist/js/persiandate.min.js" rel="stylesheet"/>
<script src="/dist/js/bootstrap-datpicker.min.js"></script>

Create a tag like input or whatever:

<input type="text" id="dp">

And call this code and do the magic

<script type="text/javascript">
    $(function(){
        $('#dp').datepicker({
            format: 'YYYY-MM-DD',
            autoclose: true,
            todayHighlight: true,
        });
    });
</script>

DEMO

Defualt date can be Any Format in Any Locale and Calendar.

Persian date (great persian date library for js). Persian Date