How can I run a script when 1 of my 2 submit buttons within 1 form is clicked?

Hi I have 2 submit buttons within one form. The script below works to help prevent empty fields from being submitted by sending an alert msg to the user. However I only need it to run with one of my two submit buttons is clicked. So in other words if one button a if clicked it would submit the form with or without blank fields, and the other button would run the script below and not allow the form to be submitted with blank fields. Any help is greatly appreciated, Thanks.

   <script type="text/javascript">
     $('form').on('submit', function () {
        var thisForm = $(this);
        var thisAlert = thisForm.data('alert');
        var canSubmit = true;
        thisForm.find('[data-alert]').each(function(i) {
            var thisInput = $(this);
            if ( !$.trim(thisInput.val()) ) {
                thisAlert += '\n' + thisInput.data('alert');
                canSubmit = false;
            };
        });
        if( !canSubmit ) {
            alert( thisAlert );
            return false;
        }
    });
    </script>