Submit form on keyPress enter

I have a select2 search function and when a user presses enter within the search box the the field will be populated with the first result pulled from the search request.

I would like upon keypress enter to submit the form.

js for the select2 looks like this:

$(document).ready(function () {
            $(".js-search-menus").select2({
                multiple: true,
                maximumSelectionSize: 1,
                placeholder: 'Find a Menu',
                allowClear: true,
                ajax: {
                    type: 'POST',
                    url: '{{ action('\Modules\Admin\Http\Controllers\Restaurant\Menus\MenusController@postGetMenus') }}',
                    dataType: 'json',
                    delay: 250,
                    data: function (params) {
                        return {
                            q: params.term,
                            page: params.page
                        };
                    },
                    processResults: function (data, params) {

                        menus = []

                        $.each($.parseJSON(data), function () {
                            menus.push({
                                id: this.MenuID,
                                text: this.MenuTitle
                            });
                        });

                        return {
                            results: menus,
                            pagination: {
                                more: (params.page * 30) < menus.length
                            }
                        };
                    },
                    cache: true
                },
                minimumInputLength: 3
            });
        });

works fine.

tried to add this after to submit on enter, didn't work?

$(document).ready(function () {
            $('select').keypress(function (e) {
                if (e.which == 13) {
                    $('#searchForm').submit();
                    return false;   
                }
            });
        });