New soliton solutions of fractional Biswas–Milovic equation with Kerr, parabolic and cubic-quartic nonlinearities

Pekönür E., AKAR M.

Modern Physics Letters B, vol.38, no.35, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 35
  • Publication Date: 2024
  • Doi Number: 10.1142/s0217984924503561
  • Journal Name: Modern Physics Letters B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Keywords: conformable derivative, Fractional Biswas-Milovic equation, Sardar sub-equation method, solitons and other solutions
  • Yıldız Technical University Affiliated: Yes

Abstract

This paper presents new explicit solutions of hyperbolic and trigonometric functions, obtained from the conformable fractional Biswas–Milovic equation, characterizing the long distance optical communications with three types nonlinearities: Kerr law, parabolic law and cubic-quartic ones. The Sardar sub-equation method is used, which gives the results that are of significant potential in a nonlinear system, providing a clear physical interpretation of the model under study. The resulting solutions are novel for the fractional Biswas–Milovic equation with the help of the method used, a powerful instrument for exploring precise solitary wave solutions for various other nonlinear equations in a nonlinear medium.