Although the origins of electromagnetic theory and the fluid mechanics are completely
different, the compressible ideal fluid equations can be expressed in a form analogous to …

In this study, we describe a novel approach to quantum phenomena of the generalized
electromagnetic fields of dyons with quaternionic analysis. Starting with quaternionic …

The dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics
equations along with the transport equations in the presence of electrons and magnetic …

In this paper, we discuss the fields described by Dirac wave equation written in Clifford
algebra based on Macfalane quaternions. It is shown that the strengths of these fields are …

We consider the factorization of differential operator of Klein–Gordon equation on the base
of space-time algebra of sixteen-component sedeons. It is shown that generalized sedeonic …

In this paper, we use four-dimensional quaternionic algebra to describe space-time
geodesics in curvature form. The transformation relations of a quaternionic variables are …

Stimulating the biquaternionic generalization of electric and magnetic fields in
electromagnetism, a new model has been proposed to present the Maxwell type equations …

We discuss the generalization of phenomenological equations for electromagnetic field in
superconductor based on algebra of space-time sedeons. It is shown that the combined …

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 …

In the present paper we demonstrate that the massless fields can be described by two types
of potentials with different space-time properties and different Lorentz transformations. In …