Cubic-quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas-Lenells equation

Khalil S. Al-Ghafri*, Edamana V. Krishnan, Anjan Biswas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The objective of this study is to investigate miscellaneous wave structures for perturbed Fokas-Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers. Based on the improved projective Riccati equations method, various types of soliton solutions such as bright soliton, combo dark-bright soliton, singular soliton and combo singular soliton are constructed. Additionally, a set of periodic singular waves are also retrieved. The dynamical behaviors of some obtained solutions are depicted to provide a key to understanding the physics of the model. The modulation instability of the FLE is reported by employing the linear stability analysis which shows that all solutions are stable.

Original languageEnglish
Article number9
JournalJournal of the European Optical Society-Rapid Publications
Volume18
Issue number2
DOIs
Publication statusPublished - 2022
Externally publishedYes

Keywords

  • Cubic-quartic dispersion
  • Improved projective Riccati equations method
  • Modulation instability
  • Optical solitons
  • Perturbed Fokas-Lenells equation

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