I watched the video again and I think all the moves they are doing are used to do kicks, I mean if you watch clearly you can see that they have always one feet in a position like they want to kick someone and if you see this video you see one of them having two swords so I think they really do this white lotus martial art... I really would like to see a battle of users of this martial art :(

Ok, I´ve done some research and white lotus martial art is a kung fu styl which is very deadly and uses some "whip" moves^^ on youtube you find a training video