Most any lead/tin soft solder (50-50,,60/40,,70/30) or one of the greenie Silver soft solders (tin/silver) will do. I use these and common paste flux (No-Corrode) sold in the plumbing/solder section of the DIY store with any of them and they all work fine.
I do any common soft solder gun repair needed including re-lay ribs on SxS shotguns and double rifles.
I stay away from so called 'acid flux' (Zinc chloride) becasue of it's nasty after rust tendencys. It does work great, but if used in a restricted space like betw ribs, ect and not completely washed out, it will come back as a nasty coarse after rust that is nearly impossible to get under control.
Nothing special or proprietary about the solder or paste flux.
If there is any trick to it's use, it's the same old things about a clean surface, close fitting joints and surfaces.
Tin the surfaces before joining, Flux the surfaces again before clamping. Apply heat till the solder melts but not directly to the joint as it'll burn the flux away and the solder won't adhere to the base metal.
Keep things clean!
Don't over heat,,only enough heat for enough time to melt and allow the solder to flow into the joint. Add a touch extra solder if needed.
A close fitting joint shouldn't necessarily need any and soft solder is not a strong gap filler.
Let it cool naturally when done,,don't pour water on it to cool it off.