i don't know the proper name for them- they're from the betta bulbs. there was also confusion because they looked different from each other until a few weeks ago and now they look alike. they have long stalks with little white flowerettes on them. the stalks die fairly quickly and i pull them off and the plants grow more.
the first pic is of the tank soon after Lulu's move from the 1 gallon where she had the bushy plant- to the 3 gallon where i gave her a lantern toy and the second plant. as you can see the second plant sprouted stalks right away and has thin leaves while the older plant has no stalks and broad leaves-
now both plants have broad leaves and stalks. but the older plant didn't have them until about 2 weeks ago. so i guess they're the same kind after all- even though they looked totally different for many months. in conclusion- plants are weird and aquariums never stop being surprising :P