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Mathematical Methods in the Applied Sciences
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Some new results of nonlinear model arising in incompressible visco‐elastic Kelvin–Voigt fluid

Some new results of nonlinear model arising in incompressible visco-elastic Kelvin-Voigt fluid
Authors: Md. Nur Alam; Shariful Islam; Onur Alp İlhan; Hasan Bulut;

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

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.

Country
Turkey
Keywords

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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    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Top 10%
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