Propagation of dispersion-managed dark solitons and the novel application to redshift in starlight

Chen, P.Y.P.

doi:10.1016/j.ijleo.2021.168384

Cited by 4 publications

(6 citation statements)

References 12 publications

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“…Numerical procedures described in the previous sections have been modified and used to study the propagation characteristics of electromagnetic waves in the form of bright, dark, and anti-dark solitons [10,11,20]. The steps needed are to be described below.…”

Section: Electromagnetic Wave Propagation Through Spacementioning

confidence: 99%

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Numerical Solutions of Nonlinear Schrödinger Equation: An Application Example of Nonlinear Analysis

Y.P. Chen

2024

Nonlinear Systems - Recent Advances and Application [Working Title]

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The nonlinear Schrödinger equation is used to show how numerical methods can be used to solve mathematical problems present in nonlinear analysis. The Lanzos-Chevbychev Pseudospectral method is shown to be effective, flexible, and economical to meet various demands in practical applications of mathematical simulations using nonlinear differential equations. The electromagnetic wave propagation through an inhomogeneous, anisotropic, and complex space is used as an example to show how successful mathematical modeling could be used to explain the complex phenomenon of astronomical redshift that is the central issue in the widely debated Hubble tension.

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Section: Electromagnetic Wave Propagation Through Spacementioning

confidence: 99%

“…In Section 3, we apply NLSE to electromagnetic wave propagation through space [10,11], together with two simple examples. We show in Section 4 that long distance, and other characteristic nature of space such as anisotropy, inhomogeneity, and gravitational effect, can be effectively included.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solutions of Nonlinear Schrödinger Equation: An Application Example of Nonlinear Analysis

Y.P. Chen

2024

Nonlinear Systems - Recent Advances and Application [Working Title]

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“…The NLS equation is a robust system that provides countless solutions depending on the many variants, the system parameters, and boundary conditions used [9,10]. As an initial value problem, the initial input also occupies a vital role.…”

Section: The Exactly Periodic (Ep) Soliton Solutionmentioning

confidence: 99%

“…One widely used design is the dispersion managed (DM) systems, where a period consists of two halves in length and each with a dispersion coefficient of opposite sign. Making use of this characteristic, the periodic solution could be found by the shooting method that is an iterative algorithm using for a dispersion map [9,10]:…”

Section: The Exactly Periodic (Ep) Soliton Solutionmentioning

confidence: 99%

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Wave Propagation Theory Denies the Big Bang

Chen¹

2022

Astronomy and Planetary Science - From Cryovolcanism to Black Holes and Galactic Evolution

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Problems related to Big Bang because of the Doppler interpretation of cosmological redshift have not been resolved up to recent years. The “tired light” theory proposes an energy loss model that has its own limitations. Chen in 2020 and 2021 proposed to treat light propagation through the space just as a field problem involving electromagnetic waves and governed by the well-known nonlinear Schrödinger (NLS) equation. The space is not a vacuum and is sparsely populated with matters. Electromagnetic waves traveling through the space will undergo changes as predicted by the NLS equation involving a linear dispersion and a nonlinear self-phase focusing terms. Using the cosmological principle, the coefficients associated with these terms could be constants but extremely small in value. Special numerical methods have been developed and could be used to find both bright and dark soliton-like solutions for the NLS equation that are stable and could travel through the extremely long distance involved. These solutions clearly show the redshift is linearly proportional to distance traveled for both bright and dark solitons. The conclusion is that redshift (and blue shift) is an innate nature of light traveling through the space.

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Investigation of nonlinear Schrödinger equation for application to astronomical redshift

Chen

2022

Optik

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Propagation of dispersion-managed dark solitons and the novel application to redshift in starlight

Cited by 4 publications

References 12 publications

Numerical Solutions of Nonlinear Schrödinger Equation: An Application Example of Nonlinear Analysis

Numerical Solutions of Nonlinear Schrödinger Equation: An Application Example of Nonlinear Analysis

Wave Propagation Theory Denies the Big Bang

Investigation of nonlinear Schrödinger equation for application to astronomical redshift

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