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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2022 / Cilt: 7 - Sayı: 3

Applications of the Sub Equation Method for the High Dimensional Nonlinear Evolution Equation

Yüksek Boyutlu Doğrusal Olmayan Evrim Denklemi için Alt Denklem Metodunun Uygulanması

Gamze DERELİ CAN
Öner GELİŞKEN
Doğan KAYA
Serbay DURAN
Pages
898–906
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Moreover, 2D, 3D and contour graphical representation of the obtained results of the specified equation is made using a ready-made package program for certain values and thus the conformity of the founded results has been demonstrated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, the Generalized (3+1)-dimensional Shallow Water-Like (SWL) equation is taken into consideration and exact solutions have been constructed of the SWL equation using sub equation method.
📊
Key Findings & Data:This method is an easier and efficient method for finding analytic solutions of the nonlinear evolution differential equation.
💡
Conclusion & Impact:Moreover, 2D, 3D and contour graphical representation of the obtained results of the specified equation is made using a ready-made package program for certain values and thus the conformity of the founded results has been demonstrated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article, the Generalized (3+1)-dimensional Shallow Water-Like (SWL) equation is taken into consideration and exact solutions have been constructed of the SWL equation using sub equation method. This method is an easier and efficient method for finding analytic solutions of the nonlinear evolution differential equation. The method appears to be easier and faster for symbolic computation. Moreover, 2D, 3D and contour graphical representation of the obtained results of the specified equation is made using a ready-made package program for certain values and thus the conformity of the founded results has been demonstrated.

Özet

Bu makalede Genelleştirilmiş (3+1) boyutlu sığ su benzeri (SWL) denklemi dikkate alınmış ve SWL denkleminin alt denklem yöntemi kullanılarak kesin çözümleri oluşturulmuştur. Bu metot, doğrusal olmayan evrim denklemlerinin analitik çözümlerini bulmak için daha kolay ve verimli bir yöntemdir. Metot, sembolik hesaplama için daha kolay ve daha hızlı görünmektedir. Ayrıca, belirtilen denklemin elde edilen sonuçlarının 2 boyutlu, 3 boyutlu ve kontur grafiksel gösterimi belirli değerler için hazır paket programı kullanılarak yapılmış ve böylece bulunan sonuçların uygunluğu gösterilmiştir.

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Cite This Article

CAN, G. D., GELİŞKEN, Ö., KAYA, D., DURAN, S. (2022). Applications of the Sub Equation Method for the High Dimensional Nonlinear Evolution Equation. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 7 - Sayı: 3, 898–906. https://ajindex.com/articles/505429

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