Some new results of nonlinear model arising in incompressible visco‐elastic Kelvin–Voigt fluid
Md. Nur Alam, Shariful Islam, Onur Alp İlhan, Hasan Bulut
Abstract
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 ‐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.