Edit in JSFiddle

var myApp = angular.module('myApp', []);

myApp.directive('enterDirective', function () {
    return {
        link: function (scope, element, attrs) {
            $(element).keypress(function (e) {
                if (e.keyCode == 13) {
                    console.log("Enter pressed " + element.val())
                }
            });
        }
    }
});
//myApp.factory('myService', function() {});


myApp.controller('MyCtrl', function ($scope) {
    $scope.action = function () {
        //notice how this is clicked when you hit the enter key
        console.log("button clicked");
    };
})

<div ng-controller="MyCtrl">
    <form>
        <input type="text" class="edit-input" enter-directive />
        <button ng-click="action()">Perform action</button>
    </form>
</div>