On the Laravel News site they've posted a tutorial from Phil Leggetter showing you how to integrate your application with Nexmo to be able to send and receive SMS messages in your Laravel application.
In this quick tutorial by Phil Leggetter, we’ll cover how you can both send and receive SMS from your Laravel application. We’ll do this using Nexmo, a cloud communications platform that offers APIs for provisioning phone numbers, sending and receiving SMS (which is handy since we’ll use that), making and receiving phone calls and more.
He starts off with some prerequisites you'll need to get the system working (including an account on Nexmo and their command line tool). They create a fresh Laravel application and integrate the Nexmo PHP package into it as a service provider. With that installed he shows how to send an SMS message to a phone number, how to "rent" a number they can reply to and receiving the callback when they send a response. The post finishes with the setup of an "auto-responder" that just confirms that the message was received.