Yelp will not allow businesses to delete listings or change your practice name. It finds these actions as business attempting to elude negative reviews.
If you attempt to change your practice name you may be met with initial success but within several days your name will revert back. You can attempt to mark your listing as closed however, it will still show up in Yelp searches for quite some time. Eventually, Yelp will re-open it if it finds your practice to be open for business.
So what is to be done about yelp? We recommend using Yelp as an asset.