Dimensionless form of (1+1)-dimensional Radhakrishnan-Kundu-Lakshmanan equation with parabolic law of self-phase modulation in the presence of group velocity dispersion


Albayrak P., Özışık M.

(hybrid ) International Conference on Nonlinear Science and Complexity (ICNSC23,) July 10-15, 2023, Istanbul-Turkey, İstanbul, Turkey, 10 - 15 July 2023, pp.96-97

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.96-97
  • Yıldız Technical University Affiliated: Yes

Abstract

This study aims to obtain optical soliton solutions of the (1+1)-dimensionless Radhakrishnan-Kundu-Lakshmanan equation with the parabolic law nonlinearity in the presence of the chromatic dispersion term. The Radhakrishnan-Kundu-Lakshmanan equation is a recently introduced model in the literature based on the Schrödinger equation and gives a different perspective to soliton transmission in optical fibers and is classified in the same group as models such as Chen-Lie-Lu, Kundu-Eckhaus, Sasa-Satsuma equation, Manakov, Schrödinger-Hirota. The study has been based on the new Kudryashov method and optical soliton solutions have been obtained, graphical representations of the obtained solutions have been given, along with the necessary interpretations.