Yes, but replant the tops. If you leave the bottoms in the ground, they should sprout new shoots. I like to cut them just above a side shoot and replant the top and leave the remainder of the stem with the side shoot. I've noticed with this plant in particular that sometimes if I leave just a plain stem in the substrate, that it won't always send off side shoots like some other stem plants do.
FILSTAR Pimp #2
75 gal heavily planted,50/50 Black beauty,Eco-complete substrate, Pressurised CO2 with solenoid, ph controller, AB Reactor 1000, 330 watts 9325K GE PC lighting,Ehiem Liquidoser, 2-Filstar xp3 canisters.