Exploring solitary wave solutions of extended Sakovich equations: A focus on nonlinear science


Seadway A. R., Ali A., Bekir A., ÇEVİKEL A. C.

Modern Physics Letters B, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0217984925501234
  • Dergi Adı: Modern Physics Letters B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Anahtar Kelimeler: Extended Sakovich equations, fluid dynamics, mathematical methods, solitary wave solutions
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This aim of this work is to apply three proposed mathematical methods, namely, enhanced simple equation, ðG0=GÞ-expansion and modified F-expansion to investigate solitary wave solutions for the two recently developed extended Sakovich equations in the context of ð2 þ 1Þ- and ð3 þ 1Þ-dimensional structures. The equations under this study belong to the category of Korteweg-de Vries (KdV) equations which are widely acknowledged as important components of fluid dynamics. Many scientific fields, including mathematics, physics, soliton theory, plasma physics, biology, chemistry, and nonlinear processes can benefit from the use of these equations. The derived solutions are in the form of Trigonometric, hyperbolic, exponential and rational functions. The Mathematica 13 computational software is used to represent some solutions graphically in two- and three-dimensional for the physical phenomena of concern models. Therefore, our work's inventiveness is demonstrated by the application of many types of new solutions and newly employed creative ways. This facilitates additional research into nonlinear models that realistically capture important physical processes in daily life.