Optical Solitons in Metamaterials Dominated by Anti-cubic Nonlinearity and Hamiltonian Perturbations

K. S. Al-Ghafri*, E. V. Krishnan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The present work discusses solitons and other solutions to nonlinear Schrödinger equation in metamaterials with nonlinear influence of non-Kerr law type. The nonlinearity of metamaterials is assumed to be because of anti-cubic law. Some perturbation terms of Hamiltonian type are considered in the governing model. The study has been carried out with the aid of four integration schemes to extract an exact analytic wave solutions. Numerous structures of optical solitons and other solutions are derived. The restrictions for the existence of exact solutions are given.

Original languageEnglish
Article number144
JournalInternational Journal of Applied and Computational Mathematics
Volume6
Issue number5
DOIs
Publication statusPublished - Oct 1 2020

Keywords

  • Anti-cubic nonlinearity
  • Hamiltonian perturbations
  • Nonlinear Schrödinger equation
  • Optical solitons

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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