Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry

Sandeep Malik, Sachin Kumar, Anjan Biswas, Yakup Yıldırım, Luminita Moraru*, Simona Moldovanu, Catalina Iticescu, Seithuti P. Moshokoa, Dorin Bibicu, Abdulaziz Alotaibi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.

Original languageEnglish
Article number963
JournalSymmetry
Volume15
Issue number5
DOIs
Publication statusPublished - May 2023
Externally publishedYes

Keywords

  • Arnous
  • Kudryashov
  • Lie symmetry
  • polynomial
  • solitons

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