Cessna Citation 560XLS pilot reported experiencing several compressor stalls at cruise level off. The crew returned to departure airport and landed.

Narrative

After a normal takeoff and climb to cruise altitude of 41000; we experienced three distinct compressor stalls when reducing thrust for cruise. We experienced a loud bang; a drop in N1 indication and a yaw to the left with each of the events. We immediately requested a lower altitude of 35000 and I began looking for any suitable checklist for the situation; of which there was none. Since there were no additional events; we decided to request return to ZZZ. We discussed the possibility of additional events and the potential need to secure the engine. ZZZ1 was our choice for an immediate landing if necessary. There were no further events as we continued to ZZZ. When Wi-Fi service was renewed; I called the Chief Pilot to confirm the AFIS messages were received about our return. Tower decided to [request priority handling] on our behalf per their SOP. We were greeted with the firetruck and security staff which followed us to the Company ramp where I exited the aircraft after shutdown. I gave them my information and explained that the aircraft was safe and secure. We then spoke with the Chief Pilot again and maintenance and wrote up the aircraft for the compressor stall event.The event can be rather startling; and if a crew was not familiar with how to recognize a compressor stall; there may be some ambiguity about how to proceed. There is no checklist for the XLS for any kind of compressor stall or surge event. I'm also not familiar with any guidance anywhere else in the company manuals. Experience helped us understand what was going on; but that may not always be the case for every crew. It might be prudent to have some guidance or a checklist for this type of event.