You can't do this using forms the normal way. Instead, you want to use AJAX.
A sample function that will submit the data and alert the page response.
function submitForm() {
var http = new XMLHttpRequest();
http.open("POST", "<<whereverTheFormIsGoing>>", true);
http.setRequestHeader("Content-type","application/x-www-form-urlencoded");
var params = "search=" + <<get search value>>; // probably use document.getElementById(...).value
http.send(params);
http.onload = function() {
alert(http.responseText);
}
}