Highly Dispersive Optical Soliton Perturbation, with Maximum Intensity, for the Complex Ginzburg–Landau Equation by Semi-Inverse Variation

This work analytically recovers the highly dispersive bright 1–soliton solution using for the perturbed complex Ginzburg–Landau equation, which is studied with three forms of nonlinear refractive index structures. They are Kerr law, parabolic law, and polynomial law. The perturbation terms appear wi...

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Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 6; p. 987
Main Authors Biswas, Anjan, Berkemeyer, Trevor, Khan, Salam, Moraru, Luminita, Yıldırım, Yakup, Alshehri, Hashim M.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2022
Subjects
Cardano
Dispersion
Food science
Hypotheses
Kudryashov
Landau-Ginzburg equations
Mathematical analysis
Nonlinearity
Optics
Perturbation
Polynomials
Refractivity
semi-inverse
Solitary waves
solitons
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Summary:This work analytically recovers the highly dispersive bright 1–soliton solution using for the perturbed complex Ginzburg–Landau equation, which is studied with three forms of nonlinear refractive index structures. They are Kerr law, parabolic law, and polynomial law. The perturbation terms appear with maximum allowable intensity, also known as full nonlinearity. The semi-inverse variational principle makes this retrieval possible. The amplitude–width relation is obtained by solving a cubic polynomial equation using Cardano’s approach. The parameter constraints for the existence of such solitons are also enumerated.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10060987