Search form query in URL

I have a regular POST form for my search function. I currently have the following route:

Route::post('/search', 'PostController@search');

I get the form data using jQuery/AJAX:

$('form').on('submit', function(event)
{
    event.preventDefault();

    var form = $(this);

    $.ajax({
        url: '/search',
        type: 'post',
        data: form.serialize(),
        dataType: 'json',
        success: function(data)
        {
            //
        },
        error: function(data)
        {
            //
        }
    });
});

However, when the results page is shown, it only shows /search in the URL without the user's query, like:

http://ift.tt/1Fky9im

What I want is to do something like /search/{user query here}, like:

http://ift.tt/28O1dmT

Essentially, I want to be able to show the user's query within the URL.

How can I do this and how can I do this safely?

via Chebli Mohamed