Umm .. are you sure you are using WordPress 🙂
A standard search url for WordPress uses the URL parameter ?s
or /search/
so you can have any URL’s you like such as example.com/?s=current
or example.com/search/current
Others you can try are /tag/current
search for all posts with the Tags current
/category/current
will search for all posts with the Category current
Does that help?