How to set up animated Search form in Genesis. http://sridharkatakam.com/set-animated-search-form-genesis/

functions.php

//* Enqueue scripts and styles
add_action( 'wp_enqueue_scripts', 'custom_enqueue_scripts_styles' );
function custom_enqueue_scripts_styles() {

	wp_enqueue_style( 'font-awesome', '//maxcdn.bootstrapcdn.com/font-awesome/4.2.0/css/font-awesome.min.css' );
	
	wp_enqueue_script( 'global', get_bloginfo( 'stylesheet_directory' ) . '/js/global.js', array( 'jquery' ), '1.0.0', true );

}

add_filter( 'wp_nav_menu_items', 'theme_menu_extras', 10, 2 );
/**
 * Filter menu items to append a search form.
 *
 * @param string   $menu HTML string of list items.
 * @param stdClass $args Menu arguments.
 *
 * @return string Amended HTML string of list items.
 */
function theme_menu_extras( $menu, $args ) {

	if ( 'primary' !== $args->theme_location )
		return $menu;

	$menu .= '<li class="search"><a id="main-nav-search-link" class="icon-search"></a><div class="search-div">' . get_search_form( false ) . '</div></li>';
	
	return $menu;

}

//* Customize search form input button text
add_filter( 'genesis_search_button_text', 'sp_search_button_text' );
function sp_search_button_text( $text ) {
	return esc_attr( 'Go' );
}

global-another-variation.js

jQuery(function( $ ){
	$( '#main-nav-search-link' ).click(function(event){
		if ( event.target !== this )
		return;
			$('.search-div' ).slideToggle(function() {
			$(this).parent().toggleClass( 'search-open' );
		});
	});
});

global.js

jQuery(function( $ ){

	$('#main-nav-search-link').click(function(){
		$('.search-div').show('slow');
	});

	$("*", document.body).click(function(event){
		// event.stopPropagation();
		var el = $(event.target);
		var gsfrm = $(el).closest('form');
		if(el.attr('id') !='main-nav-search-link' && el.attr('role') != 'search' && gsfrm.attr('role') != 'search'){
			$('.search-div').hide('slow');
		}
	});

});

style.css

/*
Animated Search Form
---------------------------------------------------------------------------------------------------- */

.nav-primary .genesis-nav-menu > .search {
	display: inline-block;
	position: relative;
	width: auto;
	padding: 0;
}

li a.icon-search:before {
	font-family: FontAwesome;
	font-weight: normal;
	font-style: normal;
	text-decoration: inherit;
	content: "\f002";
}

li a.icon-search {
	cursor: pointer;
}

/*li a.icon-search:hover {
	border-bottom: none;
}*/

.search-div {
	display: none;
	position: absolute;
	z-index: 10;
	right: 0;
	width: 300px;
	padding: 10px;
	-webkit-border-radius: 0 0 6px 6px;
	border-radius: 0 0 6px 6px;
	background: #f2efef;
}

.search-div .search-form {
	position: relative;
}

.search-div .search-form input[type="search"] {
	width: 100%;
	padding: 10px;
	font-size: 16px;
}

.search-div .search-form input[type="submit"] {
	position: absolute;
	right: -1px;
	bottom: 1px;
	padding: 10px 14px;
	-webkit-border-radius: 0;
	border-radius: 0;
}

/* Clear search field placeholder text on focus */
input:focus::-webkit-input-placeholder {
	color: transparent;
}
input:focus:-moz-placeholder {
	color: transparent;
} /* Firefox 18- */
input:focus::-moz-placeholder {
	color: transparent;
} /* Firefox 19+ */
input:focus:-ms-input-placeholder {
	color: transparent;
} /* oldIE ;) */

@media only screen and (max-width: 800px) {
	.nav-primary .genesis-nav-menu > .search {
		display: block;
		text-align: left;
	}
	.search-div {
		left: 0;
	}
}

@media only screen and (max-width: 340px) {
	.search-div {
		width: auto;
	}
}