Biquaternionic reformulation of multifluid plasma equations

Abstract

Extending the biquaternionic generalization of the Maxwell type equations of compressible fluids, an effort has been introduced for the reformulation of analogous multifluid plasma equations. With the help of an exact correlation between the equations of classical electrodynamics and multifluid plasma model, suitable and elegant biquaternionic expressions including corresponding matrix representations have been presented. The proposed model in this paper generalizes Maxwell type equations of multifluid plasma in a simple, compact and consistent manner. Finally, using the advantages of biquaternions, the wave equation for plasma is reformulated similarly to the compressible fluids.