Question: Variation to the Helmholtz equation???

I am working with a 3 dimensional vector partial diff eq that resembles the Helmholtz equation, but there is a curl of the vecotr field as the middle term.

ie-->LaPlacian(F)+2beta*gamma^2*curl(F)+gamma^2*F = 0

Anyone have knowledge or references for me to look over to solve this equation?



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