The Falaco Soliton is an interesting Soliton, as it is made up out of two connected whirlpools that are entwined by a string underwater. One could see it as half a Torus that moves continuously forward. It is an idea discovered and presented by Professor R. M.Kiehn. On his website he describes this phenomenon with mathematics of Élie Cartan, a specialist in Spinor theory:
http://www22.pair.com/csdc/car/carfre55.htm (Professor R. M.Kiehn)
http://www22.pair.com/csdc/car/carfre47.htm (Cartan's Magic Formula)
http://www22.pair.com/csdc/pdf/falaco97.pdf (The Falaco Soliton)