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Journals / Türk Doğa ve Fen Dergisi / 2021 / Cilt: 10 - Sayı: 2

Investigation of Nonlinear Wave Solutions in Fluid Mechanics

Akışkanlar Mekaniğinde Doğrusal Olmayan Dalga Çözümlerinin İncelenmesi

Tolga AKTÜRK
Yusuf GÜREFE
Pages
168–173
Publication Date
2022-11-06
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Two and three dimensional and contour graphs of the solution function were found by determining the appropriate parameters.

📌 3 Key Takeaways

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Objective & Hypothesis: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).
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Key Findings & Data:The solution functions obtained were checked by Wolfram Mathematica software, which provided the (3 + 1) -dimensional potential Yu-Toda-Sasa-Fukuyama (YTSF) equation.
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Conclusion & Impact:Two and three dimensional and contour graphs of the solution function were found by determining the appropriate parameters.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Geliştirilmiş Üstel Fonksiyon Metodu · (3+1)-boyutlu Yu-Toda-Sasa-Fukuyama denklemi · Hareketli dalga çözümleri

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.

Özet

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.

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Cite This Article

AKTÜRK, T., GÜREFE, Y. (2022). Investigation of Nonlinear Wave Solutions in Fluid Mechanics. Türk Doğa ve Fen Dergisi, Cilt: 10 - Sayı: 2, 168–173. https://ajindex.com/articles/622523

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