The equations of compressible ideal fluids analogous to those of electromagnetism are
reformulated in terms of hyperbolic octonions. Furthermore, the wave equations with source …

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 …

We develop a quaternionic electrodynamics and show that it naturally supports the
existence of magnetic monopoles. We obtained the field equations, the continuity equation …

Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of
compressible fluids, an alternative reformulation has been proposed for the analogous …

In this paper, by defining properties of the real and complex quaternion algebras, the
electromagnetic field equations including monopoles have been studied in\(\hbox {S}'\) …

In this paper, it is proven that the associative octons including scalar, pseudoscalar,
pseudovector and vector values are convenient and capable tools to generalize the Maxwell …

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

The concept of space-time representation is redefined using the octonion space-time (OST)
algebra. In this study, describing the properties of octonions and their possible connection …

We know that the octonion algebra is the largest division algebra. Therefore, we have
discussed the octonion 8-dimensional space as the combination of 2 (external and internal) …