Mohammed Said did some research on how run acceptance test for a javascript driven interface.

If you’re testing non-javascript driven interfaces then you may use Laravel’s built-in PHP Browser based testing library, it’s very powerful and the API is very readable as well. However if you need to test javascript driven interfaces then selenium is what you should be using.

https://dotdev.co/acceptance-testing-a-laravel-and-vue-js-application-4160b8e96156#.j1ltb34zv