Do you know the variables to select options in the link, so for example just keyword search, match full whole word only, etc? The functionality is there on search.php - but obviously need to link to specific search results.
That is because your not suppose to be passing information through a url. The search form is where you do a search and the variables are submitted via a POST return not GET.
You can pass a keyword as I noted because that is how you can click the link under a photos keywords to be taken to results for those keywords. If you want to do extensive search options you must use the search form.