Can we send SMS through AWS for the below case?

I have an application installed on Ec2 and that application runs few rules and may send SMS to end users if the rule conditions are met.

I wanted to integrate it with some SMSC and thought of giving a shot with AWS-SNS. However, I am not able to figure out how will i integrate my application with AWS-SNS.

Going through the documentation of AWS-SNS I am not sure if this can be achieved. It talks about creating topics and assigning E164 numbers to topics but does not tell us how to integrate this with our already existing application.