How to create another bootstrap collapse navbar button?

Question

I am trying to create a fixed navbar top similar to Udemy using bootstrap 3. This contains a left aligned collapsible drop down. But copying navbar-header twice didn't work. CSS is not my strong point. Any direction is appreciated.

Collapsed one on left and one on the right.

Update

This is what I have so far. I would like the button group items to adopt the default behaviour of bootstrap (with icon-bar) on the left most corner of navbar when resized for smaller displays.

<nav class="navbar navbar-default navbar-fixed-top" role="navigation">
  <header class="container">
    <div class="navbar-header">
      <button type="button" class="navbar-toggle" data-toggle="collapse" data-target=".navbar-collapse">
        <span class="sr-only">Toggle navigation</span>
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
      </button>          
    </div>
    <div class="collapse navbar-collapse">
      <ul class="nav navbar-nav navbar-right">
        <li class="dropdown">
          <div class="btn-group header-dropdown nav navbar-nav">
            <button type="button" class="btn btn-success">Select City</button>
            <button type="button" class="btn btn-success dropdown-toggle" data-toggle="dropdown">
              <span class="caret"></span>
              <span class="sr-only">Toggle Dropdown</span>
            </button>
            <ul class="dropdown-menu" role="menu">
              <li><a href="#">Chennai</a></li>
              <li><a href="#">Bangalore</a></li>
              <li><a href="#">Mumbai</a></li>
              <li class="divider"></li>
              <li><a href="#">Others</a></li>
            </ul>
          </div>
        </li>

        <li><a href="#">Item 1</a></li>
        <li><a href="#">Item 2</a></li>
        <li><a href="#">Item 3</a></li>
      </ul>
    </div>
  </header>
</nav>    

Answer 1

You can use a dropdown to create the "Discover" menu, and some custom CSS to center the brand. The links on the right would toggle/collapse on small screens using the navbar-collapse..

Working demo: http://bootply.com/133215