I firmly believe that there is absolutely no reason to duplicate the functionality that all standard browsers provide, including the back button. People understand quite clearly what the button does and how it works. As long as your search results come back up after using the back button (meaning you don't get one of those "would you like to resubmit the form" messages), then there is no reason to have a Back to Search Results link. I also disagree with pkreglicki - I don't see how the result of using the back button could be ambiguous. It serves a very clear and distinct purpose.
If you are looking for research to back this up, the easiest way is to use analytics. Set it up so the search results records differently when someone clicks on the search button vs. when the page is viewed a second time via the back button. Then review to see if your users are going back or performing the search a second time in cases where you have users viewing the same search results multiple times. In my past experience with tests like this, the users almost universally used the back button on the browser, so to me it was pretty clear that they knew how it works.
Another thing to think about is how links like "Back to search results" could potentially harm the users' experience on your site. If you explicitly duplicate browser functionality like this (or with Print links or Back to Top links), then you may make more novice users think that they can't use their standard methods for performing these actions. A user might think "Why is this link here? Can't I just use the back button like I do on other sites?" Since your goal is likely to support novice users with a link like this, you may be doing more harm than good overall.
A final thing to think about is server performance. Depending on how your search and how your site are set up, using a link like that could cause a performance hit on your server. If you have browser-level caching enabled, then a simple use of the back button will not reload the page, which means the server will not be hit again. But if you have a link to the search results again, it will invariably request the data from the server again, increasing your load.