Incorporating Velocity Shear into the Magneto-Boussinesq Approximation
  Motivated by consideration of the solar tachocline, we derive, via an asymptotic procedure, a new set of equations incorporating velocity shear and magnetic buoyancy into the Boussinesq approximation. We demonstrate, by increasing the magnetic field scale height, how these equations are linked to the magneto-Boussinesq equations of Spiegel and Weiss (1982). 
Jordan A. Bowker and David W. Hughes and Evy Kersal\'e
astro-ph.SR