How to implement Bielefeld Academic Search engine in my webs

Question

I am looking to develop an interface (.NET 4.5, Sql Server 2012) that will integrate with BASE (Refer link http://www.base-search.net/about/en/about_develop.php?menu=2; sub-section [Integration of BASE into local infrastructures]) through the API they have provided.

I can successfully get the Search box added to my website but the search results are displayed in their page (basically the site redirects).

Do you know any way I could get the search results onto my page. The eventual goal is to attach a check-box to each of the search result so that if and when selected the relevant data gets can be loaded onto the database.