Akışkanlar Mekaniğinde Doğrusal Olmayan Dalga Çözümlerinin İncelenmesi

Abstract

Bu çalışmada, (3 + 1) boyutlu potansiyel Yu-Toda-Sasa-Fukuyama (YTSF) denkleminin hareketli dalga çözümleri, modifiye üstel fonksiyon yöntemi (MEFM) kullanılarak elde edilmiştir. Bulunan çözüm fonksiyonları incelendiğinde trigonometrik, hiperbolik ve rasyonel fonksiyonların olduğu görülmektedir. Elde edilen çözüm fonksiyonları, (3 + 1) boyutlu potansiyel Yu-Toda-Sasa-Fukuyama (YTSF) denklemini sağlayan Wolfram Mathematica yazılımı ile kontrol edildi. Uygun parametreler belirlenerek çözüm fonksiyonunun iki ve üç boyutlu ve kontur grafikleri bulundu.

Keywords

• Geliştirilmiş Üstel Fonksiyon Metodu
• (3+1)-boyutlu Yu-Toda-Sasa-Fukuyama denklemi
• Hareketli dalga çözümleri

Investigation of Nonlinear Wave Solutions in Fluid Mechanics

Abstract

In this study, the traveling wave solutions of the (3 + 1) -dimensional potential Yu-Toda-Sasa-Fukuyama (YTSF) equation were get using the modified exponential function method (MEFM). When the solution functions found are examined, it is seen that there are trigonometric, hyperbolic and rational functions. The solution functions obtained were checked by Wolfram Mathematica software, which provided the (3 + 1) -dimensional potential Yu-Toda-Sasa-Fukuyama (YTSF) equation. Two and three dimensional and contour graphs of the solution function were found by determining the appropriate parameters.

Keywords

• Modified Exponential Function method
• the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation
• Traveling wave solutions

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