I have recently legally changed my name and about to publish my paper in that new name. However I was wondering is there anyway to change my name on my scopus profile?
You can simply publish your paper with your new name on it. It will appear in Scopus within your new author profile (with a newly created Scopus Author ID). Finaly, you can send a request to merge authors to Scopus (http://www.scopus.com/feedback/author/home.uri#/). All your Scopus records (with the former and new name) will be collected in a unique author profile. When merging profiles, you should set your newly created profile (with your new name) as preferred.