JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="http://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap.min.css">
<script src="http://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/js/bootstrap.min.js"></script>
<header>
    <div class="container-fluid">
        <div class="row">

            <div class="container">
                <div class="row">
                    <div class=" col-md-12 col-sm-12 col-xs-12 search-container">
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>
                        <p>THIS IS A TEST</p>


                    </div>
                </div>
            </div>
            <nav class="navbar-inverse navbar-static-top" role="navigation">

    <div class="container">
        <div class="navbar-header">
            <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#bs-example-navbar-collapse-1">
                <span class="sr-only">Toggle navigation</span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
            </button>
        </div>

        <!-- Collect the nav links, forms, and other content for toggling -->
        <div class="collapse navbar-collapse" id="bs-example-navbar-collapse-1">
            <ul class="nav navbar-nav">
                <li><a href="#">Home</a></li>
                <li><a href="#">About</a></li>
                <li><a href="#portfolio">Portfolio</a></li>
                <li><a href="#">Contact</a></li>
            </ul>
        </div>
    </div>
</nav>

CSS

.navbar-inverse .navbar-nav > li > a {
  padding: 10px;
} 

.navbar-header {
    background-color: white; /* or transparent, whatever you like */
}

.navbar-inverse .navbar-toggle .icon-bar {
    background-color: black;
}

.navbar-inverse .navbar-toggle:hover .icon-bar {
    background-color: white;
}

@media (min-width: 768px) {
    /* Center content in the nav-bar */
    .navbar-inverse .navbar-nav {
        float: none;
        text-align: center;
    }
    .navbar-inverse .navbar-nav > li {
        display: inline-block;
        float: none;
    }
}