Alfresco Search with a direct URL Parameter

We have an existing web application that has configurable URLs with parameters for an easy integration of other systems. For example: I can easy generate a clickable URL like https://external-system/&query=Invoice_123456.

We also run Alfresco for document storage and an archive of PDFs. If I go to Alfresco Share and search for "Invoice_123456", I can see the documents that I was looking for.

Is there something like an URL for searching the Alfresco Repo globally for content by using a GET or POST parameter? For example: "http://ift.tt/20FfkzC"

Thanks