Octonic Maxwell-type multifluid plasma equations

Abstract

Stimulating from octonic reformulation of the Maxwell-type equations of compressible fluids, this paper aims to extend this effort to derive the compact and elegant expressions that reflect both the fluid and electromagnetic behavior of plasma. Using theorems and techniques of octon algebra, a single equation is proposed for the Maxwell-type field equations of multifluid plasma. Moreover, the wave equations in terms of generalized vorticity and Lamp vector are formulated in a similar form to electromagnetic and fluidic counterparts previously derived by using algebra of octons.