填写不带名称的输入字段，然后用PHP cURL单击div？

I am trying to use PHP cURL to fill and submit a form on a url, however, they are not using the regular form tag with a submit button. Instead they just have a div with onclick to submit the value entered in the input field that has no name, but does have an id and an onChange event.

You can see it in action here. (You can search for '5458-011' to test.)

How do I still enter a value in this input field and submit it via cURL?

以下是该网址的代码。

HTML：

<input onChange="mirrorSearch2()" list="addresses2"class="Header-Search-field" id="addressInputSmall" placeholder="Search by address, parcel or planning application number, or click on the map"/>
<datalist id="addresses2"></datalist>
<div onclick="runSearch(document.getElementById('addressInputSmall').value,'','addressInputSmall')" class="fa fa-search fa-2x" aria-hidden="true" id="Search-icon2"></div>

Javascript / jQuery：

//onChange
function mirrorSearch2() {
    var thenew=$('#addressInputSmall').val()
    //console.log(thenew);
    $('#addressInput').val(thenew);
}
function mirrorSearch() {
    var thenew=$('#addressInput').val()
    //console.log(thenew);
    $('#addressInputSmall').val(thenew);
}

//onClick
function runSearch(theAddress,theType,theID) {
    //Now run a second query to get the geometry, if no geometry is found then send to old PIM search functionality (e.g. PPTS non-parcel records)
    //console.log("RunSearch: "+theAddress)

    if (theID=="addressInput") {
        //console.log($('#addresses').children().length)
        if  ($('#addresses').children().length==1  ) {
            //if there is only one option and they hit enter, then get the option value rather than search for the incomplete text.
            //e.g. if they typed 1650 miss and hit enter, then send the 1650 MISSION ST from the option list.
            $("#addresses").prop("selectedIndex", 0);
            if ($( "#addresses option:first" ).val()) {
                setTimeout('throttleSubmit($( "#addresses option:first" ).val());',400)
                return
                //theAddress = $( "#addresses option:first" ).val();
            }
        }
    }
    if (theID=="addressInputSmall") {
        //console.log($('#addresses2').children().length)
        if  ($('#addresses2').children().length==1  ) {
            //if there is only one option and they hit enter, then get the option value rather than search for the incomplete text.
            //e.g. if they typed 1650 miss and hit enter, then send the 1650 MISSION ST from the option list.
            $("#addresses2").prop("selectedIndex", 0);
            if ($( "#addresses2 option:first" ).val()) {
                setTimeout('throttleSubmit($( "#addresses2 option:first" ).val());',0)
                return
                //theAddress = $( "#addresses2 option:first" ).val();
            }
        }
    }
    //setTimeout('console.log($( "#addresses2 option:first" ).val())',100)
    //console.log(theAddress)
    throttleSubmit(theAddress)
}