Some new results of nonlinear model arising in incompressible visco-elastic Kelvin–Voigt fluid

Alam M. N., Islam S., İLHAN O. A., Bulut H.

Mathematical Methods in the Applied Sciences, vol.45, no.16, pp.10347-10362, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 16
  • Publication Date: 2022
  • Doi Number: 10.1002/mma.8372
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.10347-10362
  • Keywords: incompressible visco-elastic Kelvin-Voigt fluid, modified (G'/G)-expansion method, Oskolkov equation, wave solutions, SOLITON-SOLUTIONS, WAVE STRUCTURES, OPTICAL SOLITONS, LUMP SOLUTIONS, EQUATION
  • Kayseri University Affiliated: No


© 2022 John Wiley & Sons, Ltd.The Oskolkov equation, which is a nonlinear model that describes the dynamics of an incompressible visco-elastic Kelvin–Voigt fluid, is examined in the present study. It has been obtained by applying the modified (Formula presented.) -expansion method, especially using calculation results such as kink wave, cusp wave, periodic respiratory waves, and periodic wave solutions. This research has employed this process to seek novel computational results of the Oskolkov equation. The dynamics of obtained wave solutions are analyzed and illustrated in figures by selecting appropriate parameters. With three dimensional, two dimensional, and contour graphical illustration, mathematical results explicitly exhibit the proposed algorithm's complete honesty and high performance in physics, mathematics, and engineering.