Akışkanlar Dinamiğinde Oskolkov Denkleminin Tam Çözümleri

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

Exact Solutions of the Oskolkov Equation in Fluid Dynamics

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).

Keywords:

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

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