Not sure if your 2015 looks the same, but here's a quick video about hooking up the +12v wire and fuse to the trailer harness. This wire is not connected from the factory.
Youtube Silverado trailer power wiring.Keep in mind that this will keep +12v on the trailer harness at all times, even with the key off, so you could end up discharging the truck battery while using the camper. The solution there is to isolate this 12v with a
isolation solenoid that only activates with the switch on.
Even after hooking this up the wiring probably isn't large enough to charge the camper battery while also supplying power for the DC fridge. The more current flowing through the wire, the less voltage will be at the camper's battery. With no other (major) loads the wire is sufficient since as the battery gets closer to full charge the current through the wire will decrease and the voltage at the battery will increase. If there's another load drawing significant current you'll never get full voltage to the battery.
Solar will definitely help since it will be charging the battery all the time, not just when the truck is running. Assuming your solar is putting out enough to power whatever loads you have and still have enough left to charge the battery.