jQuery vertical accordion menu problem

Hi Experts,

Apologies for this duplicate entry. I closed a previous question before I realised there was still an issue with it.

I got much appreciated help from expert Zyloch to get to this point.

I have a html list menu (attached). I cannot alter the html in any way. I would like to have the menus expand and collapse on hover.

With the code attached, the menus expand and collapse when you hover on the parent link '#nav li a' but when you hover on the sublinks in that menu, it does not remain expanded.

The menu should remain expanded until you hover over another parent link or remove the mouse from the menu altogether.

Does any one have any ideas how to achieve this?

Many Thanks.

/* html */

<div id="main_menu">
          <ul id="nav">
            <!-- Start of CMS Top Menu Object -->
            <li class="link_selected"><a href="" >H</a></li>
            <li class="link"><a href="" >M</a>
              <ul>
                <li class="link"><a href="" class="enclose">C</a></li>
                <li class="link"><a href="" >L</a></li>
                <li class="link"><a href="" >V1</a></li>
                <li class="link"><a href="" >V2</a></li>
                <li class="link"><a href="" >V3</a></li>
                <li class="link"><a href="" >V4</a></li>
              </ul>
            </li>
            <li class="link"><a href="" >S</a>
              <ul>
                <li class="link"><a href="" class="enclose">C</a></li>
                <li class="link"><a href="" >T</a></li>
                <li class="link"><a href="" >G</a></li>
                <li class="link"><a href="" >I</a></li>
                <li class="link"><a href="" >P</a></li>
                <li class="link"><a href="" >C</a></li>
                <li class="link"><a href="" >M</a></li>
              </ul>
            </li>
            <li class="link"><a href="" >Q</a></li>
            <li class="link"><a href="" class="enclose">C</a></li>
            
            <!-- End of CMS Top Menu Object -->
          </ul>
        </div>


/* CSS */


ul#nav, ul#nav ul 
{
  list-style-type:none;
  padding: 0;
  width: 228px; 
  margin:1px 0px 1px 1px;
}

ul#nav a 
{
  display: block;
  text-decoration: none;	
}

ul#nav li {
  margin-top: 1px;
}

ul#nav li a 
{
	width:197px;
	font-weight: bold;
	color: white;
	background: #005883 url(link_image.jpg) no-repeat 8px 9px; 
	margin-bottom: 1px; 
	padding: 7px 0 0px 31px;
	min-height:24px;
}

ul#nav li a:hover 
{

}

ul#nav li ul li a 
{
  color: #818085;
  background-color: #bcdeef; 
  padding-left: 30px;
  font-weight:normal;
  background-image:none;
  font-size:.9em;
}

ul#nav li ul li a:hover 
{
	text-decoration:underline;
}

.code 
{ 
	border: 1px solid #ccc; 
	list-style-type: decimal-leading-zero; 
	padding: 5px; 
	margin: 0; 
}

.code code 
{ 
	display: block; 
	padding: 3px; 
	margin-bottom: 0; 
}

.code li 
{ 
	background: #ddd; 
	border: 1px solid #ccc; 
	margin: 0 0 2px 2.2em; 
}

.indent1 
{ 
	padding-left: 1em; 
}

.indent2 
{ 
	padding-left: 2em; 
}



/*jQuery*/


function initMenu() {
  $('#nav ul').hide();
  $('#nav ul:first').hide();
$('#nav li a').hover(
    function() {
      var checkElement = $(this).next();
      if((checkElement.is('ul')) && (checkElement.is(':visible'))) {
        return false;
        }
      if((checkElement.is('ul')) && (!checkElement.is(':visible'))) {
        $('#nav ul:visible').slideUp('normal');
        checkElement.slideDown('normal');
        return false;
      }
    },
    function() {
      var checkElement = $(this).next();
      if((checkElement.is('ul')) && (checkElement.is(':visible'))) {
        checkElement.slideDown('normal');
        $('#nav ul:visible').slideUp('normal');
        return false;
      }
    }
  );
  }
$(document).ready(function() {initMenu();});

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