Wait, a comet has tails?! Yes!! Normally, a comet will have two tails: an ion tail of charged particles emitted by the comet that are pushed out by the solar wind coming from the Sun, and a dust tail of small debris that orbits behind the comet but is also pushed out, to some degree, by the solar wind.
Frequently a comet may sometimes appear to have only one tail because the other tail is not easily visible from the Earth.
In the featured unusual image,Comet 2P/Encke appears to have three tails because the ion tail split into 2 close to the time when the image was taken. The complex solar wind is occasionally turbulent and sometimes creates unusual structure in an ion tail.