You can toggle the visibility of any content with Bootstrap Collapse.
For example, if you're navbar had the following link:
<li><a href="#" >Directory <span class="caret"></span></a></li>
You could add data-toggle="collapse" data-target="#demo"
like this:
<pre><code><li><a href="#" <b>data-toggle="collapse" data-target="#demo"</b>>
Directory <span class="caret"></span>
</a></li>
</code></pre>
And then include the dropdown menu you want like this:
<div id="demo" class="collapse">
Expander Stuff
</div>
Collapsed:
Expanded:
Note: I would not implement this on hover because it ignores mobile users. You can easily implement the functionality on click. If you truly want hover, then you'll have to add some extra handling.