I think the problem is that you've created an HTML form with GET method, which automatically opens the URL that way you specified as the result. If you want to submit your search query like the desired one, you should hack the form with some JavaScript to call your good-looking URL like this:
<form method="get" action="/search/" onsubmit="return false;">
<input type="search" name="q" value="querystring" />
<input type="submit" onclick="window.location.href=this.form.action + this.form.q.value;" />
</form>
与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…