Obtaining soliton solutions of the nonlinear (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation via two analytical techniques

ESEN H., SEÇER A., ÖZIŞIK M., Bayram M.

International Journal of Modern Physics B, vol.38, no.1, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.1142/s0217979224500103
  • Journal Name: International Journal of Modern Physics B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Flat-kink solitons, Smooth-kink solitons, the new Kudryashov's method, modified extended tanh expansion method
  • Yıldız Technical University Affiliated: Yes

Abstract

This paper tackles the recently introduced (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (4D-BLMPE) utilized to model wave phenomena in incompressible fluid and fluid mechanics. Modified extended tanh expansion method (METEM) and the new Kudryashov scheme are implemented to produce analytical soliton solutions for the presented equation. The traveling wave transformation is constructed, and the homogeneous balance principle is utilized to apply the two proposed techniques. Furthermore, the flat-kink, smooth-kink, singular, and periodic singular solutions are successfully extracted. Some produced solutions are illustrated graphically to understand the physical meaning of the presented model. Moreover, for the first time in this study, the effect of model parameters on kink soliton dynamics is examined, and graphical representations are depicted and interpreted.