I would style a link to look like a button, because that way there is a no-js fallback.
So this is how you could animate the jump using jquery. No-js fallback is a normal jump without animation.
Original example:
$(document).ready(function() {_x000D_
$(".jumper").on("click", function( e ) {_x000D_
_x000D_
e.preventDefault();_x000D_
_x000D_
$("body, html").animate({ _x000D_
scrollTop: $( $(this).attr('href') ).offset().top _x000D_
}, 600);_x000D_
_x000D_
});_x000D_
});#long {_x000D_
height: 500px;_x000D_
background-color: blue;_x000D_
}<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>_x000D_
<!-- Links that trigger the jumping -->_x000D_
<a class="jumper" href="#pliip">Pliip</a>_x000D_
<a class="jumper" href="#ploop">Ploop</a>_x000D_
<div id="long">...</div>_x000D_
<!-- Landing elements -->_x000D_
<div id="pliip">pliip</div>_x000D_
<div id="ploop">ploop</div>New example with actual button styles for the links, just to prove a point.
Everything is essentially the same, except that I changed the class .jumper to .button and I added css styling to make the links look like buttons.