Quaternionic generalization of telegraph equations

Diffusion (76R50) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Second-order hyperbolic equations (35L10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Transport equations (35Q49)

Cites Work

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The Poincaré mass operator in terms of a hyperbolic algebra
Gravitoelectromagnetism in a complex Clifford algebra
Hyperbolic quaternion formulation of electromagnetism
Dirac equation on hyperbolic octonions
Generalized octonion electrodynamics
On the electromagnetic effects due to the motion of electrification through a dielectric.
Hyperbolic octonion formulation of gravitational field equations
Quaternionic formulation of the classical fields
Sedeonic equations in field theory
Sedeonic equations of massive fields
Some properties of dark matter field in the complex octonion space
OCTONIC GRAVITATIONAL FIELD EQUATIONS
Spacetime algebra for the reformulation of fluid field equations
Octonic formulations of Maxwell type fluid equations
OCTONIC FIRST-ORDER EQUATIONS OF RELATIVISTIC QUANTUM MECHANICS
Octonic representation of electromagnetic field equations
The octonions
Multifluid plasma equations in terms of hyperbolic octonions
Four interactions in the sedenion curved spaces
On Heaviside's contributions to transmission line theory: waves, diffusion and energy flux
Considerations on the hyperbolic complex Klein–Gordon equation
Split octonion reformulation of generalized linear gravitational field equations
Heat waves
Sedenions: Algebra and analysis
Generalized Klein-Gordon field equations with octonion space-time (OST) algebra
Scalar fields described by Dirac quaternion wave equation
Quaternion equations for hydrodynamic two-fluid model of vortex plasma
Biquaternionic reformulation of multifluid plasma equations
Torques and angular momenta of fluid elements in the octonion spaces
Generalization of London equations with space-time sedeons
Sedenionic formulation for the field equations of multifluid plasma

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