Переход из одной формы в другую?

<div class="container">
            <form method="POST" id="signup-form" class="signup-form" enctype="multipart/form-data">

                
                <fieldset>
                    <form >
                    <div class="form-group">
                        <input type="tel" name="tel" id="phone" placeholder="Ваш телефон" />
                    </div>
                    <input type="submit" name="submit" value="Отправить" class="btn btn-danger btn-rounded m-b-40" />
                    
                </fieldset>
                

                
                <fieldset>
                    <h2>Введите код сообщения</h2>
                    <div class="form-group">
                        <input type="text" name="socials_twitter" id="socials_twitter" placeholder="Код сообщения"/>
                    </div>
                </fieldset>
                
                <fieldset> 
                    <h2>Персональные данные</h2>
                    <div class="form-group">
                        <input type="text" name="your_name" id="your_name" placeholder="Your name"/>
                    </div>
                    <div class="form-group">
                        <input type="text" name="your_phone" id="your_phone" placeholder="Phone"/>
                    </div>
                    <div class="form-group">
                        <input type="text" name="your_addr" id="your_addr" placeholder="Address"/>
                    </div>
                </fieldset>
            </form>
        </div>

(function($) {

    var form = $("#signup-form");
    form.steps({
        headerTag: "h3",
        bodyTag: "fieldset",
        transitionEffect: "fade",
        labels: {
            previous : 'Назад',
            next : 'Вперед',
            finish : 'Отправить',
            current : ''
        },
        titleTemplate : '<div class="title"><span class="title-text">#title#</span><span class="title-number">0#index#</span></div>',
        onFinished: function (event, currentIndex)
        {
            alert('Sumited');
        }
    });
    
    
})(jQuery);

<form id="contactForm" method="post" class="m-b-30">
                <input type="tel" name="phone" placeholder="мобильный телефон" id="phone"  >
                <a id="form-submitter" href="form2.php"><input type="submit" name="submit" value="Продолжить" /></a>
            </form>

$( document ).ready(function(){
        $('#contactForm').on("submit", function(event){
            event.preventDefault();
            $.ajax({
                url:"form2.php",
                dataType:"text",
                cache:false,
                method:"POST",
                data:$('#contactForm').serialize(),
                success:function(data){
                    console.log(data);
                }
            });

        })
    });

$('#form-submitter').click(function(e){
        e.preventDefault();
        $.ajax({
            url: 'form1.php',
            success: function(){
                window.location.href = "form2.php";
            },
            error: function(){
                alert('failure');
            }
        });
    });