In vue 2, You can catch enter event with v-on:keyup.enter check the documentation:
https://v2.vuejs.org/v2/guide/events.html#Key-Modifiers
I leave a very simple example:
var vm = new Vue({
el: '#app',
data: {msg: ''},
methods: {
onEnter: function() {
this.msg = 'on enter event';
}
}
});<script src="https://cdn.jsdelivr.net/npm/vue@2.5.16/dist/vue.js"></script>
<div id="app">
<input v-on:keyup.enter="onEnter" />
<h1>{{ msg }}</h1>
</div>Good luck