<?php session_start(); //to start session
$_SESSION['search_result'] = $_REQUEST['search_result'];
//$_REQUEST['search_result'] is the data you get from GET Mehthod or POST Method of variable search_result
?>
To acess it on other page
<?php
session_start();
$search_result = $_SESSION['search_result'];
solved How to store search result by using session? [closed]