What do the north and dornes cavalry tactics look like imagine dorne fights like Parthia with cataphracts and horse archers while the northern cavalry is like the knights of the white wolf

No, Dornish cavalry are light lancers and javelin throwers, much more akin to the Numidian cavalry that were the glory and the downfall of Hannibal. 

Northern cavalry are basically heavy armored cavalry akin to knights, but historically quite ferocious if Roddy the Ruin is any example.