Multiple navbar-collapse for Bootstrap 3 Techcrunch Style

gistfile1.html

<nav class="navbar navbar-default" role="navigation">
    <!-- Brand and toggle get grouped for better mobile display -->
    <div class="navbar-header">
        <button type="button" class="navbar-toggle" data-toggle="collapse" data-target="#search">Toggle search</button>
        <button type="button" class="navbar-toggle" data-toggle="collapse" data-target="#links">Toggle links</button> <a class="navbar-brand" href="#">Brand</a>

    </div>
    <ul class="collapse navbar-collapse nav navbar-nav" id="links">
        <li class="active"><a href="#">Link</a>

        </li>
        <li><a href="#">Link</a>

        </li>
        <li class="dropdown"> <a href="#" class="dropdown-toggle" data-toggle="dropdown">Dropdown <b class="caret"></b></a>

            <ul class="dropdown-menu">
                <li><a href="#">Action</a>

                </li>
                <li><a href="#">Another action</a>

                </li>
                <li><a href="#">Something else here</a>

                </li>
                <li><a href="#">Separated link</a>

                </li>
                <li><a href="#">One more separated link</a>

                </li>
            </ul>
        </li>
    </ul>
    <div class="collapse navbar-collapse" id="search">
        <form class="navbar-form navbar-left" role="search">
            <div class="form-group">
                <input type="text" class="form-control" placeholder="Search">
            </div>
            <button type="submit" class="btn btn-default">Submit</button>
        </form>
    </div>
</nav>