26 citations · 68 across the 26 of their papers we have counts for
9 papers · 1 filter
A nonlinear relativistic approach to mathematical representation of vacuum electromagnetism based on extended Lie derivative
Stoil Donev, Maria Tashkova
This paper presents an alternative {\it relativistic nonlinear} approach to the vacuum case of classical electrodynamics. Our view is based on the understanding that the correspond…
A nonlinear prerelativistic approach to mathematical representation of vacuum electromagnetism
Stoil Donev, Maria Tashkova
This paper presents an alternative prerelativistic approach to the vacuum case of classical electrodynamics represented by vacuum Maxwell equations. Our view is based on the unders…
Frobenius Curvature, Electromagnetic Strain and Description of Photon-like Objects
Stoil Donev, Maria Tashkova
This paper aims to present a general idea for description of spatially finite physical objects with a consistent nontrivial translational-rotational dynamical structure and evoluti…
Integrability-Nonintegrability Structures and Individual Photons' Description as Finite Field Objects
Stoil Donev, Maria Tashkova
This paper presents an attempt to come to a natural field model of individual photons considered as finite entities and propagating along some distinguished direction in space in a…
Extended Electrodynamics: A Brief Review
Stoil Donev, Maria Tashkova
This paper presents a brief review of the newly developed \emph{Extended Electrodynamics}. The relativistic and non-relativistic approaches to the extension of Maxwell equations ar…
On the Structure of the Nonlinear Vacuum Solutions in Extended Electrodynamics
Stoil Donev, Maria Tashkova
In this paper, in the frame of Extended Electrodynamics (EED), we study some of the consequences that can be obtained from the introduced and used by Maxwell equations complex stru…