Cubic-Quartic Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity Having Parabolic Law of Nonlinear Refractive Index by Lie Symmetry

This work recovers cubic-quartic optical solitons with dispersive reflectivity in fiber Bragg gratings and parabolic law of nonlinearity. The Lie symmetry analysis first reduces the governing partial differential equations to the corresponding ordinary differential equations which are subsequently i...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-11, Vol.14 (11), p.2370
Main Authors: Malik, Sandeep, Kumar, Sachin, Biswas, Anjan, Yıldırım, Yakup, Moraru, Luminita, Moldovanu, Simona, Iticescu, Catalina, Alshehri, Hashim M.
Format: Article
Language:English
Subjects:
Arnous
Bragg gratings
Depletion
Dispersion
Kudryashov
Lie groups
Lie symmetry
Mathematical analysis
Nonlinearity
Partial differential equations
Reflectance
Refractivity
Solitary waves
solitons
Symmetry
Variables
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Summary:This work recovers cubic-quartic optical solitons with dispersive reflectivity in fiber Bragg gratings and parabolic law of nonlinearity. The Lie symmetry analysis first reduces the governing partial differential equations to the corresponding ordinary differential equations which are subsequently integrated. This integration is conducted using two approaches which are the modified Kudryashov’s approach as well as the generalized Arnous’ scheme. These collectively yielded a full spectrum of cubic-quartic optical solitons that have been proposed to control the depletion of the much-needed chromatic dispersion. They range from bright, dark, singular to combo solitons. These solitons are considered with dispersive reflectivity, which maintains the necessary balance between chromatic dispersion and nonlinear refractive index structure for an uninterrupted transmission of solitons along intercontinental distances. Their respective surface and contour plots are also exhibited. A few closing words are included with some prospective future avenues of research to extend this topic further.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14112370