The traveling wave solution and dynamics analysis of the parabolic law nonlinear stochastic dispersive Schrödinger-Hirota equation with multiplicative white noise

Liu, Chunyan; Shi, Da; Li, Zhao

doi:10.1016/j.rinp.2023.107025

Cited by 9 publications

(1 citation statement)

References 26 publications

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“…bifurcation in optical fibres [7] and the interaction of wave elements [8] including rogue waves [9]. This approach provides a mathematical model for nonlinear behaviours [10], typically using a polynomial complete discriminant method [11] [12] [13] and has primarily been applied to wave propagation effects, optical as well as water, but also other effects such as nerve signal propagation [14]. While mathematically powerful and able to model complex wave phenomena, this approach does not appear to have resulted in an explicit derivation for the Fresnel equations.…”

Section: Introductionmentioning

confidence: 99%

Fresnel Equations Derived Using a Non-Local Hidden-Variable Particle Theory

Pons

2024

JMP

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Problem: The Fresnel equations describe the proportions of reflected and transmitted light from a surface, and are conventionally derived from wave theory continuum mechanics. Particle-based derivations of the Fresnel equations appear not to exist. Approach: The objective of this work was to derive the basic optical laws from first principles from a particle basis. The particle model used was the Cordus theory, a type of non-local hidden-variable (NLHV) theory that predicts specific substructures to the photon and other particles. Findings: The theory explains the origin of the orthogonal electrostatic and magnetic fields, and re-derives the refraction and reflection laws including Snell's law and critical angle, and the Fresnel equations for s and p-polarisation. These formulations are identical to those produced by electromagnetic wave theory. Contribution: The work provides a comprehensive derivation and physical explanation of the basic optical laws, which appears not to have previously been shown from a particle basis. Implications: The primary implications are for suggesting routes for the theoretical advancement of fundamental physics. The Cordus NLHV particle theory explains optical phenomena, yet it also explains other physical phenomena including some otherwise only accessible through quantum mechanics (such as the electron spin g-factor) and general relativity (including the Lorentz and relativistic Doppler). It also provides solutions for phenomena of unknown causation, such as asymmetrical baryogenesis, unification of the interactions, and reasons for nuclide stability/instability. Consequently, the implication is that NLHV theories have the potential to represent a deeper physics that may underpin and unify quantum mechanics, general relativity, and wave theory.

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