Gabapentin is a fairly safe medication when people take it according to a doctor's instructions. However, some people may experience side effects. Common side effects that generally do not. In summary, Gabapentin is prescribed by veterinarians for dogs who suffer from chronic pain, seizures, or epilepsy. Benefits and Uses of Gabapentin for Dogs. Gabapentin (brand names: Neurontin®, Neurostil®, Gantin®, Gabarone®, Gralise®, Progresse®, Aclonium®, and Equipax®) can be used to treat various conditions and issues.