Optical solitons and conservation laws associated with Kudryashov’s sextic power-law nonlinearity of refractive index

Elsayed M.E. Zayed, Reham M.A. Shohib, Mohamed E.M. Alngar, Anjan Biswas, Mehmet Ekici, Salam Khan, Abdullah Khamis Alzahrani, Milivoj R. Belic

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

We recover the cases of solutions in the shape of bright, dark and singular optical solitons for the self-phase modulation effect, which belongs to the type of N. A. Kudryashov’s sextic power-law nonlinearity of refractive index. Three different integration schemes have been implemented. These are a unified Riccati equation, our new mapping scheme and our addendum to the common N. A. Kudryashov’s method. All of the solitons are enlisted and the criterions of their existence are mentioned. Finally, we extract three appropriate conservation laws.

Original languageEnglish
Pages (from-to)38-49
Number of pages12
JournalUkrainian Journal of Physical Optics
Volume22
Issue number1
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Kudryashov’s method
  • Refractive index
  • Sextic-power nonlinearities
  • Solitons

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