The "cure" is all mental. My theory is that a stutter usually persists into adulthood with continuous negative feedback. If you can let go of that mentality, which is extremely difficult, you can "cure" yourself. I don't think there is any sort of medication that will ever be available that can cure a stutter. This is all from personal experience tho and I am by no means an expert. There will always be relapses when those feedback loops return but then you will have to start that cycle again.