Mawell equations with monopoles

Hi all,

Suppose magnetic monopoles exist, how would the maxwell equations be solved?
Because the divergence of B is no longer zero, we can not use the vector potential, can we? Do you just solve for the electric and manetic field for electric charges and magnetic charges seperately and then add them together to get the total fields? How would one approach this?

I guess the answer would be:
E= electric field generated by magnetic charge + electric field generated by electric charge
B= magnetic field generated by electric charge + magnetic field generated by magnetic charge.
This would then be a more general solution. You can still get the old fields by setting the magnetic charge equal to zero.
I would like to do this a an exercise for myself, except Idont know where to begin.

Any ideas?

Thanks very much.