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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2021 / Cilt: 11 - Sayı: 1

Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method

Yusuf PANDIR
Sahragül EREN
Pages
617–624
Publication Date
2021-03-01
DOI
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AI Summary & Key Takeaways

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

In addition, two and three-dimensional graphics of these new exact solutions have been drawn and their physical behavior has been demonstrated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, the generalized Kudryashov method which provides the exact solutions is examined.
📊
Key Findings & Data:It is possible to obtain new exact solutions of the nonlinear differential equations with this method.
💡
Conclusion & Impact:In addition, two and three-dimensional graphics of these new exact solutions have been drawn and their physical behavior has been demonstrated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Genelleştirilmiş Kudryashov Yöntemi · Kısmi Türevli Diferansiyel Denklemler · iki Boyutlu KdV-Burger Denklemi

Abstract

In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found. This new exact solutions are the solutions that are not in the literature. In addition, two and three-dimensional graphics of these new exact solutions have been drawn and their physical behavior has been demonstrated.

Özet

In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found. This new exact solutions are the solutions that are not in the literature. In addition, two and three-dimensional graphics of these new exact solutions have been drawn and their physical behavior has been demonstrated.

🔖

Cite This Article

PANDIR, Y., EREN, S. (2021). Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 11 - Sayı: 1, 617–624. https://ajindex.com/articles/256362

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