filter list view web part from url like search

On a List view web part, I know that passing parameters to the url applies a filter, similar to this

http://server/site/Lists/Links/AllItems.aspx?FilterField1=DocumentID&FilterValue1=650

You can pass multiple fields like this

http://server/site/Lists/Links/AllItems.aspx?FilterField1=DocumentID&FilterValue1=650&FilterField2=Title&FilterValue2=Link650

I also see from a similar question that its possible to filter for multiple values, although I have not tried this yet.

http://server/site/Lists/Links/AllItems.aspx?FilterName=DocumentID&FilterMultiValue=650;632;33

What I want to do though, is filter in the url by a search value. So if you imagine in a Links library, the user types in a search field ‘mylink’, then I pass the appropriate field values to the url, and the list should be refined to show any items containing mylink… e.g. mylink1, mylink2, mylink3

Is this possible to do by refining the url, I know the list view web part has an out of the box search which does this but it doesn’t seem to work on one of our On Premise SP2013 sites, although it works fine on our SharePoint Online site.