How to ajax-submit a form textarea input from CKEditor?

I am using CKEditor, jQuery and jQuery form plugin and I would like to submit contents of the CkEditor form via an Ajax query. Here is my code:

<form id="article-form" name="article-form" method="post" action="/myproject/save">
  <textarea name="bodyText" style="visibility: hidden; display: none;"></textarea>
  <script type="text/javascript">
    CKEDITOR.replace('bodyText');
  </script>

  <a onClick="$("#article-form").ajaxSubmit();">Submit</a>

</form>

Unfortunately, it seems that the Ajax request does not pass the bodyText parameter;

What did I do wrong or how can I achieve what I need?

Thank you.