Laravel paginate, changing the query string to search

Currently trying to paginate some results on a product object.

The paginate object that I am receiving in my view is returning correctly however instead of the query being "http://ift.tt/2uTEbdm" it is returning "http://ift.tt/2vLH9Nw" how can i change it so it returns search instead of query?

The html output is:

<a href="http://ift.tt/2uTHSQp">2</a>

but what i need is:

<a href="http://ift.tt/2vM7ta2">2</a>

via Chebli Mohamed