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, Hashim M. Alshehri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number987
JournalMathematics
Volume10
Issue number6
DOIs
Publication statusPublished - 1 Mar 2022
Externally publishedYes

Keywords

  • Cardano
  • Kudryashov
  • perturbation
  • semi-inverse
  • solitons

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