This would be covered under collision coverage. Do you have collision coverage on the motorcycle (I'm guessing it's not a bicycle)? If not, there is a _slight_ possiblity that you might have Uninsured Motorist Property Damage but it's very rare. If you do, this could also address the damage if you don't have collision coverage.
Hey tcope, we don’t know yet whether or not the OP knows the other driver/motorist. If he has the insurance details of the driver responsible for the damages, he may file the claim with his/her insurance company and thus can spare going through that of his own.
I think the OP needs to give us more details in this regard. We don't know if he is at all talking about filing a claim with his own insurance company or not. What Jeremy said is absolutely correct. Does the OP know the other driver/motorist?
What kind of auto insurance coverage does the OP have? How long has it been since the incident took place? Does the OP have any information about the other driver? Maybe the OP can help us with more details.
If the OP is looking at his own insurance company then collision and uninsured are the two options.