Quiescent Optical Soliton Perturbation for Fokas-Lenells Equation with Nonlinear Chromatic Dispersion and Generalized Quadratic-Cubic Form of Self-Phase Modulation Structure

  • Ahmed M. Elsherbeny
  • , Muhammad Amin S. Murad
  • , Ahmed H. Arnous
  • , Anjan Biswas
  • , Luminita Moraru
  • , Yakup Yildirim*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

This paper retrieves perturbed quiescent optical solitons for the Fokas-Lenells equation that is considered with generalized quadratic-cubic form of self-phase modulation and nonlinear chromatic dispersion. The model is taken up with linear temporal evolution as well as with generalized temporal evolution. Two integration approaches are implemented to make this retrieval possible. The enhanced Kudryashov’s approach and the projective Riccati equation scheme recovers a wide range of such solitons. The numerical scheme displays a few simulations to such solitons.

Original languageEnglish
Pages (from-to)2308-2338
Number of pages31
JournalContemporary Mathematics (Singapore)
Volume6
Issue number2
DOIs
Publication statusPublished - 2025
Externally publishedYes

Keywords

  • chromatic dispersion
  • self-phase modulation
  • solitons

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