Stop reloading page with ‘Enter Key’

Don’t bind to the inputs; bind to the form. Assuming the form has an ID of searchForm:

$("#searchForm").submit(function() {
    search($("#searchText").get(0));
    return false;
});

Try it out.

It can also be done with plain JavaScript:

document.getElementById('searchForm').addEventListener('submit', function(e) {
    search(document.getElementById('searchText'));
    e.preventDefault();
}, false);