On the multi-waves, interaction and Peregrine-like rational solutions of perturbed Radhakrishnan-Kundu-Lakshmanan equation

SAĞLAM ÖZKAN Y., YAŞAR E., Seadawy A. R.

PHYSICA SCRIPTA, vol.95, no.8, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 95 Issue: 8
  • Publication Date: 2020
  • Doi Number: 10.1088/1402-4896/ab9af4
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Keywords: solitons, Radhakrishnan-Kundu-Lakshmanan equation, logarithmic transformations, mathmatical methods, OPTICAL SOLITON PERTURBATION, KADOMTSEV-PETVIASHVILI, SCHRODINGER-EQUATIONS, LONG-WAVE, DISPERSION, NONLINEARITY
  • Bursa Uludag University Affiliated: Yes

Abstract

In this work, we consider the perturbed Radhakrishnan-Kundu-Lakshmanan equation (RKL) which is the higher order nonlinear Schrodinger equation with cubic nonlinear terms in Kerr law. This equation is used to model propagation of solitons through an optical fiber. The multi-waves, interactions and Peregrine-like rational solutions of this equation are investigated with the aid of logarithmic transformation and symbolic computation without using Hirota bilinear forms By selecting appropriate values of the parameter, three dimensional plots are drawn to obtained solitons. Moreover, physical meanings of the solutions obtained were also presented.