noun: hippo-therapy; plural noun: hippo-therapies
the use of horseback riding as a therapeutic or rehabilitative treatment, especially as a means of improving coordination, balance, and strength.
"during hippotherapy a person with cerebral palsy can benefit from trying to maintain balance in response to a horse's motion"
Source: Google Dictionary
Below are links to the studies and various articles written about Hippotherapy/Equine Assisted Therapy
Other informational links -- Military personnel are not the only ones who suffer from PTSD