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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2017 / Cilt: 17 - Sayı: 1

Exact Solutions of Nonlinear Partial Differential Equations with exp(-φ(ζ))- Expansion Method

Lineer Olmayan Kısmi Diferensiyel Denklemlerin exp(-φ(ζ))- Açılım Metodu ile Tam Çözümleri

Filiz TAŞCAN
Arzu AKBULUT
Pages
86–92
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Discussed method is useful for obtaining solutions of nonlinear equations in mathematical physics and engineering

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is obtaining the exact solutions of the Bogoyavlenskii equation and the modified KdV-Zakharov-Kuznetsev equation with the help of the exp(-φ(ζ))-expansion method.
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Key Findings & Data:Solutions are obtained with different forms of functions as hyperbolic, trigonometric and rational functions.
💡
Conclusion & Impact:Discussed method is useful for obtaining solutions of nonlinear equations in mathematical physics and engineering
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this paper is obtaining the exact solutions of the Bogoyavlenskii equation and the modified KdV-Zakharov-Kuznetsev equation with the help of the exp(-φ(ζ))-expansion method. Solutions are obtained with different forms of functions as hyperbolic, trigonometric and rational functions. Discussed method is useful for obtaining solutions of nonlinear equations in mathematical physics and engineering

Özet

Bu çalışmada Bogoyavlenskii denklemi ve modifiye edilmiş KdV-Zakharov-Kuznetsev denkleminin tam çözümleri exp(-?(?))-açılım metodu yardımıyla bulunmuştur. Bulunan çözümler birbirinden farklı fonksiyonlardır ve hiperbolik, trigonometrik ve rasyonel fonksiyonlar şeklinde ifade edilmiştir. Ele alınan yöntem matematiksel fizik ve mühendislikte kullanılan lineer olmayan denklemlerin çözümü için çözümlerinin bulunması için oldukça kullanışlıdır.

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Cite This Article

TAŞCAN, F., AKBULUT, A. (2022). Exact Solutions of Nonlinear Partial Differential Equations with exp(-φ(ζ))- Expansion Method. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 17 - Sayı: 1, 86–92. https://ajindex.com/articles/430055

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