An Instant Search like widget

gistfile1.js

(function($, window, undefined) {
	$.widget("mobile.instantsearch", $.mobile.widget, {
		si: undefined,	//search inupt
		rd: undefined,	//result div
		timeout: undefined,
		options: {
			delay: 500
		},
		_init: function() {
			this.rd= $("<div>");
			this.element.after(this.rd);
			this.si= this.element.find(":jqmData(type='search')");
			this.element.submit(function() {
				return false;
			});
			this.element.bind('keyup', $.proxy(this.delaysearch, this));
		},
		delaysearch: function() {
			if(typeof this.timeout !== 'undefined') {
				window.clearTimeout(this.timeout);
			}
			this.timeout= window.setTimeout($.proxy(this.submit, this), this.options.delay);
		},
		submit: function() {
			console.log(this);
			$.ajax({
				url: this.element.attr('action'),
				context: this,
				dataType: 'html',
				type: this.element.attr('method'),
				data: this.element.serialize(),
				success: function(html) {
					var ul= $(html);
					this.rd.html(ul);
					this.rd.children('ul').listview();
				}
			});
		}
	});

	$(":jqmData(role='page')").live("pagecreate", function() {
		$(":jqmData(role='instantsearch')", this).each(function() {
			$(this).instantsearch();
		});
	});
}) (jQuery, this);

gistfile2.html

<!-- Main Search Page -->
<div data-role="page">
	<div data-role="header">
		<h1>I.S. Test-Site</h1>
	</div><!-- /header -->
	<div data-role="content">
		<form data-role="instantsearch" method="get" action="search">
			<!--  visible part -->
			<input name="q" type="search" autocomplete="off"/>
			<!-- additional hidden data -->
			<input type="hidden" name="format" value="snippet"/>
			<input type="hidden" name="model.facetMode" value="none"/>
		</form>
	</div><!-- /content -->
</div><!-- /page -->

gistfile3.html

<!-- Search Result -->
<ul data-role="listview" data-inset="true">
	<li><a href="http://www.google.de" data-rel="external">Google.de</a></li>
	<li>Hello</li>
	<li>Hello</li>
	<li>Hello</li>
	<li>Hello</li>
	<li>Hello</li>
	<li>Hello</li>
	<li>Hello</li>
	<li>Hello</li>
</ul>