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

Anjan Biswas, Trevor Berkemeyer, Salam Khan, Luminita Moraru, Yakup Yıldırım and Hashim M. Alshehri
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Anjan Biswas: Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia
Trevor Berkemeyer: Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA
Salam Khan: Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA
Luminita Moraru: Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Yakup Yıldırım: Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus
Hashim M. Alshehri: Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2022, vol. 10, issue 6, 1-11

Abstract: 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.

Keywords: solitons; Kudryashov; Cardano; semi-inverse; perturbation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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