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

ÖZDEMİR 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, PERTURBATION
  • Yıldız Technical University Affiliated: Yes

Abstract

Soliton theory has wide application in nonlinear physics fields with the inclusion of fluid dynamics, nonlinear fiber optics, plasma physics, and optics; thus, it has attracted much attention from researchers for the past few decades [1-3]. There are many mathematical models for propagation of soliton in the literature such as nonlinear Schro center dot dinger's equation [4,5], Chen-Lee-Liu equation [6], Schro center dot dinger-Hirota equation [7], Kundu-Eckhaus equation [8,9], Sasa-Satsuma equation [10-12], Manakov model [13,14], Kundu-Mukherjee-Naskar equation [15]. The gist of this paper is to examine the following perturbed and generalized RKL equations, given as. In this paper, the following perturbed and generalized RKL equations are considered, given as ( { iut+alpha uxx+beta F|u|2) ( } u=i sigma ux+i lambda F|u|2) {(|u|2)} ux + i mu Fxu - i gamma uxxx,