JSFiddle - React, Tailwind, and code Playground
HTML
<script src="https://code.jquery.com/jquery-1.12.4.js"></script>
<form name="buchenForm" id="bookingForm" method="get" action="searchresult1.php">
<div>
<input type="text" id="datepicker" value="<?php $datetime = new DateTime('tomorrow'); echo $datetime->format('d/m/Y'); ?>" class="form-control" />
<input type="hidden" id="alt_date" name="selArrivalDate" value="<?php $datetime = new DateTime('tomorrow'); echo $datetime->format('Ymd'); ?>" />
</div>
<div class="form-group">
<button id="bookingSubmitBtn1" formaction="searchresult1.php">Search 1</button>
</div>
<div class="form-group">
<button id="bookingSubmitBtn2" formaction="searchresult2.php">Search 2</button>
</div>
</form>
JavaScript
$(document).ready(function() {
$("#bookingSubmitBtn2").click(function() {
var hiddenElement = $('#bookingForm').find('input[name="selArrivalDate"]');
console.log(hiddenElement);
if (hiddenElement) {
$(hiddenElement).remove();
}
$("#bookingForm").submit();
});
});