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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 10 - Sayı: 4

(1/G')-Expansion Method for Exact Solutions of (3+1)-Dimensional Jimbo-Miwa Equation

(3 + 1) Boyutlu Jimbo-Miwa Denkleminin Tam Çözümleri için (1/G')-Açılım Yöntemi

Hülya DURUR
Asıf YOKUŞ
Pages
2907–2914
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Ready computer package program isused to obtain the solutions and graphics presented in this study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this article is obtaining the exact solutions for (3+1)-dimensional JimboMiwa Equation (3+1DJME).
📊
Key Findings & Data:The (1/G')-expansion method which is an effective method in solvingnonlinear evolution equations (NLEEs) is used.
💡
Conclusion & Impact:Ready computer package program isused to obtain the solutions and graphics presented in this study.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The purpose of this article is obtaining the exact solutions for (3+1)-dimensional JimboMiwa Equation (3+1DJME). The (1/G')-expansion method which is an effective method in solvingnonlinear evolution equations (NLEEs) is used. Then, 3D, contour and 2D graphics are presented bygiving special values to the constants in the solutions obtained. These graphics are a special solution ofthe (3+1DJME) and represent a stationary wave of the equation. Ready computer package program isused to obtain the solutions and graphics presented in this study.

Özet

Bu makalenin amacı (3+1) boyutlu Jimbo-Miwa denklemi için tam çözümler elde etmektir. Lineer olmayan evrim denklemlerinin çözümünde etkili bir yöntem olan (1/G')-açılım yöntemi kullanılmıştır. Daha sonra elde edilen çözümlerdeki sabitlere özel degerler verilerek 3 boyutlu, kontur ve 2 boyutlu grafikler sunulmuştur. Bu grafikler (3 + 1) boyutlu Jimbo-Miwa denkleminin özel bir çözümü olup ve denklemin duragan bir dalgasını temsil etmektedir. Bu çalışmada sunulan çözümler ve grafiklerin elde edilişinde hazır bilgisayar paket programı kullanılmaktadır.

🔖

Cite This Article

DURUR, H., YOKUŞ, A. (2022). (1/G')-Expansion Method for Exact Solutions of (3+1)-Dimensional Jimbo-Miwa Equation. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 10 - Sayı: 4, 2907–2914. https://ajindex.com/articles/538526

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