
doi: 10.1002/mma.8372
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.
Oskolkov equation, Soliton equations, Soliton solutions, Fundamental solutions to PDEs and systems of PDEs with constant coefficients, modified \((G'/G)\)-expansion method, Numerical approximation and evaluation of special functions, incompressible visco-elastic Kelvin-Voigt fluid, wave solutions, PDEs in connection with fluid mechanics, Viscoelastic fluids
Oskolkov equation, Soliton equations, Soliton solutions, Fundamental solutions to PDEs and systems of PDEs with constant coefficients, modified \((G'/G)\)-expansion method, Numerical approximation and evaluation of special functions, incompressible visco-elastic Kelvin-Voigt fluid, wave solutions, PDEs in connection with fluid mechanics, Viscoelastic fluids
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