Stylish Name Form - Copy this Html, Bootstrap Component to your project

Generate an HTML page with a form that includes an input field for a user's name and a submit button. When the form is submitted, use JavaScript to send an AJAX POST request to a server endpoint /save name to save the entered name. The server should return a success message, which should be displayed on the page without reloading it. Ensure the JavaScript is embedded within the HTML file itself.