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Journals / Ordu Üniversitesi Bilim ve Teknoloji Dergisi / 2026 / Cilt: 14 Sayı: 1

The Traveling Wave Solutions of Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter

Zaman Parametresine Bağlı Uyumlu Kesirli Mertebeden Date-Jimbo Kashiwara-Miwa Denkleminin İlerleyen Dalga Çözümleri

Tolga Aktürk(ORDU UNIVERSITY, FACULTY OF EDUCATION, DEPARTMENT OF MATHEMATICS AND SCIENCE TEACHING, DEPARTMENT OF MATHEMATICS EDUCATION)0000-0002-3948-6357
Aslı Alkan(FIRAT ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ, MATEMATİK (DR))0000-0002-1036-7178
Hasan Bulut(FIRAT UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS, MATHEMATICS PR.)0000-0002-6089-1517
Nesrin Güllüoğlu(HARRAN UNIVERSITY, ŞANLIURFA TECHNICAL SCIENCES VOCATIONAL SCHOOL)0000-0002-0057-8158
Pages
38–51
Publication Date
2024-06-30
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AI Summary & Key Takeaways

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

The proper values for the parameters in the acquired wave solutions are then used to generate two contour and density graphs in three dimensions that simulate the solution functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the paper, the traveling wave solutions of the conformable derivative Date–Jimbo–Kashiwara–Miwa equation were obtained by the modified exponential function method (MEFM).
📊
Key Findings & Data:It has been seen that the wave solutions found are functions that have the feature of being periodic functions.
💡
Conclusion & Impact:The proper values for the parameters in the acquired wave solutions are then used to generate two contour and density graphs in three dimensions that simulate the solution functions.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Uyumlu Date–Jimbo–Kashiwara–Miwa denklemi · değiştirilmiş üstel fonksiyon metodu · ilerleyen dalga çözümü

Abstract

In the paper, the traveling wave solutions of the conformable derivative Date–Jimbo–Kashiwara–Miwa equation were obtained by the modified exponential function method (MEFM). It has been seen that the wave solutions found are functions that have the feature of being periodic functions. The proper values for the parameters in the acquired wave solutions are then used to generate two contour and density graphs in three dimensions that simulate the solution functions.

Özet

Bu makalede, uyumlu kesirli türevli Date–Jimbo–Kashiwara–Miwa denkleminin ilerleyen dalga çözümleri, değiştirilmiş üstel fonksiyon yöntemi (DÜFY) ile elde edilmiştir. Bulunan dalga çözümlerinin periyodik fonksiyon özelliği taşıyan fonksiyonlar olduğu görülmüştür. Elde edilen dalga çözümlerindeki parametreler için uygun değerler daha sonra, çözüm fonksiyonlarını simüle eden üç boyutlu iki tane kontur ve yoğunluk grafiklerini oluşturmak için kullanılmaktadır.

🔖

Cite This Article

Aktürk, T., Alkan, A., Bulut, H., Güllüoğlu, N. (2024). The Traveling Wave Solutions of Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter. Ordu Üniversitesi Bilim ve Teknoloji Dergisi, Cilt: 14 Sayı: 1, 38–51. https://doi.org/10.54370/ordubtd.1312038

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