Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition

Oswaldo González-Gaxiola, Anjan Biswas, Yakup Yıldırım, Luminita Moraru*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is a numerical simulation of highly dispersive optical solitons in birefrin-gent fibers with polynomial nonlinear form, which is achieved for the first time. The algorithmic approach is applied with the usage of the Laplace–Adomian decomposition scheme. Dark and bright soliton simulations are presented. The error measure has a very low count, and thus, the simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.

Original languageEnglish
Article number1589
JournalMathematics
Volume10
Issue number9
DOIs
Publication statusPublished - 1 May 2022
Externally publishedYes

Keywords

  • birefringence
  • Laplace–Adomian decomposition
  • polynomial law
  • solitons

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