amazon web services – SSH into AWS EC2 without copy/pasting DNS each time

Following generation of a PEM file, and starting the instance, logging in requires copying the public DNS each time you wish to SSH in (as shown in AWS docs):

ssh -i /path/my-key-pair.pem my-instance-user-name@my-instance-public-dns-name

However, for instances that start and stop a lot, it requires copy and pasting the new DNS that’s assigned at each instantace start. Is there a way to SSH-in without having to copy the new public DNS from the AWS console each time there is an instance start/stop? Like using a fixed DNS or something?