Optical solitons and other solutions to the Radhakrishnan-Kundu-Lakshmanan equation

Ozdemir N., ESEN H., SEÇER A., Bayram M., Sulaiman T. A., Yusuf A., ...More

Optik, vol.242, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 242
  • Publication Date: 2021
  • Doi Number: 10.1016/j.ijleo.2021.167363
  • Journal Name: Optik
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC
  • Keywords: Radhakrishnan-Kundu-Lakshmanan equation, Riccati-Bernoulli sub-ODE method, Optical soliton, Backlund transformation
  • Istanbul Gelisim University Affiliated: Yes

Abstract

This paper studies the perturbed Radhakrishnan–Kundu–Lakshmanan (RKL) equation and its special form, the generalized RKL equation. Kerr law nonlinearity is considered for both equations. The Riccati-Bernoulli sub-ODE technique is implemented to these nonlinear equations so that their optical solitons and complex wave solutions are retrieved. In order to derive a sequence of solutions of considered equations, Bäcklund transformation can be carried out. 3D and 2D graphics of some solutions are depicted for chosen suitable parameters.