Hydro-culture means that a plant is growing in a non-biodegradable "soil" that
support the plant and its roots instead of in an ordinary pot with ordinary soil.
I use aquarium-sand, which is "gravel" of around 3-5 mm in particle-size. Other
materials than are usable are leca-gravel and glasswool
(which is used in greenhouses for growing tomatoes and cucumbers).
Because there are no nutrients available in the substratum, they have to be added
via the watering-water. Some nutrients are already present in ordinary tap-water,
but some need to be added.
Currently, I only have two plants in hydro-culture: a small cutting of Pilea depressa 'Hanne' which is not very old: about half a year or so, and a Peperomia obtusifolia which has been in hydroculture for about two-three years, and does well. It blossoms rather abundantly in summer, and grows rather well, too. This I can't say about the mother-plant.
In "proper" hydroculture there are special pots, with a float or something so you'll know how full the pot is. They might also have an inner pot, where the plant is, and the space between the pots is the basin. Apparently there are briquettes that can be used to provide the fertilisation.