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A reliable analytic technique for the modified prototypical Kelvin–Voigt viscoelastic fluid model by means of the hyperbolic tangent function by Kingsley Timilehin Akinfe is a Mathematics article available to read on EtoBox.

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Inspired by the extensive applicability of solitons in nonlinear optics, advanced telecommunication industry, trans-continental, and trans-oceanic systems, coupled with the copious functionality of viscoelastic models in highway engineering pavement theory, civil engineering, and solid mechanics, unique closed-form solutions have been obtained for a highly nonlinear model built on a highly nonlinear partial differential equation, which describes the dynamics of the incompressible viscoelastic Kelvin–Voigt fluid viz: the modified (1+1) dimension Oskolkov equation. Abundant solitary and traveling wave solutions to the prototypical Kelvin–Voigt incompressible model have been elucidated and put forward by means of the hyperbolic tangent method using the tangent function as an ansatz on the transformed nonlinear ordinary differential equation, thus, depicted breather, cusp, rouge, compacton, and kink waveforms via graphical illustrations for arbitrary intervals x ∈ a 1 , a 2 , t ∈ b 1 , b 2 , a 1 , a 2 , b 1 , b 2 ∈ Z . This present research yields new traveling wave profiles and structures with holomorphic terms, precise with minimized computational work, capturing all solitonic featur

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Author

Kingsley Timilehin Akinfe

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Mathematics (Physical Sciences)