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

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

KRAENKEL-MANNA-MERLE SİSTEMİNİN SGEM YOLUYLA İNCELENMESİ

Şeyma Tülüce Demiray(OSMANIYE KORKUT ATA UNIVERSITY)0000-0002-8027-7290
Uğur Bayrakcı(OSMANİYE KORKUT ATA ÜNİVERSİTESİ)0000-0002-1765-2318
Pages
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Publication Date
2022-12-30
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AI Summary & Key Takeaways

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

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, Kraenkel-Manna-Merle (KMM) system is discussed.
📊
Key Findings & Data:Sine-Gordon expansion method (SGEM), which is one of the solution methods of nonlinear evolution equations (NLEEs), has been applied to this system.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kraenkel-Manna-Merle System · mathematica · SGEM

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.

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.

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Cite This Article

Demiray, Ş. T., Bayrakcı, U. (2022). EXAMINATION OF KRAENKEL-MANNA-MERLE SYSTEM BY SINE-GORDON EXPANSION METHOD. Mugla Journal of Science and Technology, Volume: 8 Issue: 2. https://doi.org/10.22531/muglajsci.1161678

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