Optical solitons of the perturbation Fokas–Lenells equation by two different integration procedures

Elsherbeny A. M., Mirzazadeh M., AKBULUT A., Arnous A. H.

Optik, vol.273, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 273
  • Publication Date: 2023
  • Doi Number: 10.1016/j.ijleo.2022.170382
  • Journal Name: Optik
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC
  • Keywords: Perturbation, Enhanced Kudryashov?s method, Projective Riccati equations method, Fokas-Lenells equation, Solitons, KUNDU-ECKHAUS EQUATION, SEXTIC-POWER-LAW, FULL NONLINEARITY, CONSERVATION-LAWS, WAVE SOLUTIONS, MODEL, FIBER, DARK
  • Bursa Uludag University Affiliated: Yes

Abstract

© 2022 Elsevier GmbHIn this study, the general projective Riccati equations and the enhanced Kudryashov's methods are presented for the optical solitons of the perturbation Fokas–Lenells (FL) equation. For this aim, the perturbation Fokas–Lenells equation is converted to a nonlinear ordinary differential equation via wave transformations. Then, the balance number is calculated by the homogeneous balance method. Then, the used methods are applied to the given model. Finally, three-dimensional, contour, and two-dimensional figures of the results are presented. According to the obtained results, both methods are effective and powerful. The obtained results are significant in mathematical physics, soliton theory, and many other areas.