I have a jQuery accordion from this site and edited for my purposes, but the accordion only works in Firefox (not Safari or Chrome) and the cookies aren't being set correctly.

This is the jQuery:

            function initMenus() {
                $('#sidebar .letter_index').hide();
                $.each($('#sidebar .letter_index'), function() {
                    var cookie = $.cookie(this.id);
                    if (cookie === null || String(cookie).length < 1) {
                        $('#sidebar .letter_index:first').show();
                    }   else {
                        $('#' + this.id + ' .' + cookie).next().show();
                    }
                });
                $('#sidebar .letter_head').click(function() {
                    var checkElement = $(this).next();
                    var parent = this.parentNode.parentNode.id;

                    if ((checkElement.is('.letter_index')) && (!checkElement.is(':visible'))) {
                        $('#' + parent + ' .letter_index:visible').slideUp('normal');
                            if ((String(parent).length > 0) && (String(this.className).length > 0)) {
                                // not working - wie ändert man das this.class so das die class abc oder def gesetzt wird anstatt this?!
                                $.cookie(parent, this.className);
                            }
                        checkElement.slideDown('normal');
                        return false;
                    }
                }
                );
            }
            $(document).ready(function() {initMenus();});

This is how my HTML looks (sample item):

            <div id="sidebar">
      <h2 class="letter_head"><a href="#" class="ABC">ABC</h2>
      <ul class="letter_index">
        <li>Abc</li>
        <li>Bcd</li>
      </ul>
            </div>

I can't find the problem why the script won't work in Safari and Chrome.

I also don't know how to tell it to use the class of the a inside the h2 as the cookie value. (Currently the cookie is set as $.cookie(parent, this.className);, which produces cookies with the name container (the div above #sidebar) and the value letter_head. It needs to be something like 'sidebar' and 'ABC', 'DEF' and so on.

Thanks in advance!