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Dergiler / Mugla Journal of Science and Technology / 2022 / Volume: 8 Issue: 2

KRAENKEL-MANNA-MERLE SİSTEMİNİN SGEM YOLUYLA İNCELENMESİ

EXAMINATION OF KRAENKEL-MANNA-MERLE SYSTEM BY SINE-GORDON EXPANSION METHOD

Şeyma Tülüce Demiray(OSMANIYE KORKUT ATA UNIVERSITY)0000-0002-8027-7290
Uğur Bayrakcı(OSMANİYE KORKUT ATA ÜNİVERSİTESİ)0000-0002-1765-2318
Sayfa
—
Yayın Tarihi
2022-12-30
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Ayrıca elde edilen çözümlere belirli değerler verilerek Wolfram Mathematica 12 programı aracılığıyla çözümlerin 2 boyutlu ve 3 boyutlu grafikleri çizilmiştir.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Bu çalışmada, Kraenkel-Manna-Merle sistemi ele alınmıştır.
📊
Temel Bulgular & Veri:Doğrusal olmayan evrim denklemlerinin çözüm yöntemlerinden biri olan sinüs-Gordon açılım yöntemi bu sisteme uygulanmıştır.
💡
Sonuç & Katkı:Ayrıca elde edilen çözümlere belirli değerler verilerek Wolfram Mathematica 12 programı aracılığıyla çözümlerin 2 boyutlu ve 3 boyutlu grafikleri çizilmiştir.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Kraenkel-Manna-Merle System · mathematica · SGEM

Özet

Bu çalışmada, Kraenkel-Manna-Merle sistemi ele alınmıştır. Doğrusal olmayan evrim denklemlerinin çözüm yöntemlerinden biri olan sinüs-Gordon açılım yöntemi bu sisteme uygulanmıştır. Böylece ilk kez bu yöntem uygulanarak KMM sisteminin bazı dark soliton, bright soliton ve dark-bright soliton çözümleri elde edilmiştir. Ayrıca elde edilen çözümlere belirli değerler verilerek Wolfram Mathematica 12 programı aracılığıyla çözümlerin 2 boyutlu ve 3 boyutlu grafikleri çizilmiştir.

Abstract

In this study, Kraenkel-Manna-Merle (KMM) system is discussed. Sine-Gordon expansion method (SGEM), which is one of the solution methods of nonlinear evolution equations (NLEEs), has been applied to this system. Thus, by applying this method for the first time, some dark soliton, bright soliton, and dark-bright soliton solutions of the KMM system have been obtained. In addition, by giving specific values to the achieved solutions, 2D and 3D graphics of the solutions were plotted by way of the Wolfram Mathematica 12 program.

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Bu Makaleye Atıf Yap

Demiray, Ş. T., Bayrakcı, U. (2022). KRAENKEL-MANNA-MERLE SİSTEMİNİN SGEM YOLUYLA İNCELENMESİ. Mugla Journal of Science and Technology, Volume: 8 Issue: 2. https://doi.org/10.22531/muglajsci.1161678

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