Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)

Elsayed M.E. Zayed, Mahmoud El-Horbaty, Mohamed E.M. Alngar, Reham M.A. Shohib, Anjan Biswas, Yakup Yildirim, Luminita Moraru*, Catalina Iticescu, Dorin Bibicu, Puiu Lucian Georgescu, Asim Asiri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

The parameter dynamics of super-sech and super-Gaussian pulses for the perturbed nonlinear Schrödinger's equation with power-law nonlinearity is obtained in this article. The variational principle successfully recovers this dynamical system. The details of the variational principle with the implementation of the Euler- Lagrange's equation to the nonlinear Schrödinger's equation with power-law of nonlinearity described in this paper have not been previously reported.

Original languageEnglish
Article number38
JournalJournal of the European Optical Society-Rapid Publications
Volume19
Issue number2
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Euler- Lagrange
  • Perturbation
  • Solitons
  • Variational principle

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