Replying to Repairing Cut Headphone Wire

so my family just got a new kitten and the thing is fucking nuts.  plays with anything and everything.  much to my demise I came home the other day to find he had chosen the cord of my skullcandy ti's as a fun little play toy.  Upon further inspection I found a cut in my headphone wire!!  plug in the headphones, no sound.  the headphones are old too so I cant really take skullcandy up on a warranty.

Is there anyway my headphones can be salvaged and continue being used.   The cut is hardly even a cm big and far from the jack (the cords on these things are huuuggggeeeee).  Someone on here has to know how to fix it.  TELL ME HOW!