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.

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

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.96
  • 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, graph-

ical representations of the obtained solutions have been given, along with the necessary interpretations