Exact Solutions of the Oskolkov Equation in Fluid Dynamics

Yıl 2023, , 355 - 361, 03.05.2023

Hülya Durur

https://doi.org/10.35414/akufemubid.1119363

Cited By: 1

Öz

Traveling wave solutions of the Oskolkov equation, which is a model describing the dynamics of an
incompressible visco-elastic Kelvin-Voigt fluid, are investigated in this study. Complex trigonometric and
complex hyperbolic solutions of Oskolkov equation are obtained using the sub equation method. In
these obtained solutions, graphs are presented by assigning special values to the parameters. The
presented graphics are drawn with a computer package program. Implemented method is powerful
and an effective method to achieve the exact solutions of nonlinear partial differential equations
(NPDEs).

Anahtar Kelimeler

Sub equation method;, Oskolkov equation;, Nonlinear partial differential equation;, Exact solution

Akışkanlar Dinamiğinde Oskolkov Denkleminin Tam Çözümleri

Öz

Bu çalışmada, sıkıştırılamaz bir visko-elastik Kelvin-Voigt akışkanının dinamiklerini tanımlayan bir model
olan Oskolkov denkleminin gezici dalga çözümleri araştırıldı. Alt denklem yöntemini kullanarak Oskolkov
denkleminin karmaşık trigonometrik ve karmaşık hiperbolik çözümleri elde edildi. Bu elde edilen
çözümlerde parametrelere özel değerler atanarak grafikler sunuldu. Sunulan grafikler bir bilgisayar
paket programı ile çizildi. Uygulanan yöntem, lineer olmayan kısmi diferansiyel denklemlerin tam
çözümlerini üretmek için güçlü ve etkili bir yöntemdir.

Anahtar Kelimeler

Alt denklem metodu;, Oskolkov denklemi;, Lineer olmayan kısmi diferansiyel denklem;, Tam çözüm

Kaynakça

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