What are some potential solutions for maintaining the search query parameter when navigating through pages?

When navigating through pages, the search query parameter can be maintained by storing it in a session variable and appending it to the URLs of subsequent pages. This way, the search query will persist as the user navigates through different pages of search results.

```php
// Start or resume the session
session_start();

// Check if a search query parameter is present in the URL
if(isset($_GET['search_query'])){
    // Store the search query in a session variable
    $_SESSION['search_query'] = $_GET['search_query'];
}

// Retrieve the search query from the session variable
$search_query = isset($_SESSION['search_query']) ? $_SESSION['search_query'] : '';

// Use the search query in building the URLs for pagination links
echo '<a href="page1.php?search_query='.$search_query.'">Page 1</a>';
echo '<a href="page2.php?search_query='.$search_query.'">Page 2</a>';
```
In this code snippet, we store the search query parameter in a session variable if it is present in the URL. We then retrieve the search query from the session variable and append it to the URLs of pagination links. This ensures that the search query persists as the user navigates through different pages.