Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 2458-7575 Bilecik Seyh Edebali University 10.35193/bseufbd.1119693 Sıkıştırılamaz Visko Elastik Kelvin-Voigt Sıvısında Ortaya Çıkan Oskolkov Denkleminin Gezici Dalga Çözümleri Traveling Wave Solutions of the Oskolkov Equation Arising in Incompressible Viscoelastic Kelvin–Voigt Fluid https://orcid.org/0000-0002-9297-6873 Durur Hülya Ardahan University 12 31 2022 9 2 931 938 05 22 2022 10 18 2022 Copyright © 2014, Bilecik Seyh Edebali University Journal of Science 2014 Bilecik Seyh Edebali University Journal of Science

Bu çalışmada, sıkıştırılamaz visko-elastik Kelvin-Voigt akışkanının dinamiklerini tanımlayan Oskolkov denkleminin tam çözümleri sunulmuştur. Bu çözümleri aramak için -açılım yöntemi kullanılmaktadır. Elde edilen tam çözümlerinin dinamikleri uygun parametreler yardımıyla analiz edilmiş ve grafiklerle sunulmuştur. Uygulanan yöntem, mühendislik alanlarında görülen çeşitli dinamik modelleri zenginleştiren temel doğrusal olmayan dalgaları aramak için etkili ve güvenilirdir. Oskolkov denkleminin çalşmasında kullanılan analitik metodun gezici dalga çözümlerini ortaya koymakta güvenilir, geçerli ve faydalı bir araç olduğu sonucu elde edilir.

In this manuscript, exact solutions of the Oskolkov equation, which describes the dynamics of incompressible viscoelastic Kelvin-Voigt fluid, are presented. The -expansion method is used to search for these solutions. The dynamics of the obtained exact solutions are analyzed with the help of appropriate parameters and presented with graphics. The applied method is efficient and reliable to search for fundamental nonlinear waves that enrich the various dynamical models seen in engineering fields. It is concluded that the analytical method used in the study of the Oskolkov equation is reliable, valid and useful tool for created traveling wave solutions.

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