Optical solitons of (2+1)-dimensional Biswas–Milovic model with Kerr and parabolic laws of self-phase modulation

Das S. E., Ozisik M., Secer A., Bayram M., Albayrak P.

Optik, vol.288, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 288
  • Publication Date: 2023
  • Doi Number: 10.1016/j.ijleo.2023.171234
  • Journal Name: Optik
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC
  • Keywords: Chromatic dispersion, Complex transform, Self-phase modulation, The new Kudryashov method
  • Yıldız Technical University Affiliated: Yes


In this work, we consider the (2+1)-dimensional Biswas–Milovic equation, which was recently formed. The (1+1)-Biswas–Milovic equation which is a special case of the Schrödinger's equation and it was introduced in 1910. Although there have been many studies on the (1+1) form of the equation, there are hardly any studies on the recently adopted (2+1) and (3+1) forms. Most of the time, it is more meaningful to interpret physical phenomena such as physics, ocean waves, genetics, earthquake, optics depending on the (2+1) and (3+1) dimensional models. Depending on the effect and importance of different nonlinearities forms of self-phase modulation on soliton transmission, obtaining optical soliton solutions under the Kerr and parabolic-law nonlinearities forms of the (2+1)-dimensional Biswas–Milovic equation has been investigated by the new Kudryashov scheme, which was introduced to the literature by N. A. Kudryashov recently. Converting the examined nonlinear partial differential equation to nonlinear ordinary differential form with complex wave transform, obtaining the linear algebraic system by applying the considered method on the transformed form, deriving optical soliton solutions from this system by determining the unknown parameters of the model and method, are the methodologies that form the main framework of the article. Bright, W-like and singular solitons of the analyzed problem were obtained, graphical presentations were made and necessary explanations were made in the relevant sections. The change of the bright soliton to a W-like appearance as an effect of the parabolic law nonlinearity parameter is one of the points obtained and also emphasized in the study.