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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2019 / Cilt: 19 - Sayı: 3

Hyperbolic Traveling Wave Solutions for Sawada–Kotera Equation Using (𝟏/𝑮′)-Expansion Method

(𝟏/𝑮′)-Açılım Metodunu Kullanarak Sawada–KoteraDenkleminin Hiperbolik Yürüyen Dalga Çözümleri

Asıf YOKUŞ
Hülya DURUR
Pages
615–619
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

In this paper, (1/𝐺′)-expansion method is applied to reach the goals set. (1/𝐺′)-expansion method is an effective andpowerful method to obtain the traveling wave solutions of nonlinear partial differential equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we obtain hyperbolic traveling wave solutions of the Sawada–Kotera equation (S-K), using(1/𝐺′)-expansion methods.
📊
Key Findings & Data:Special values are given to the parameters in the solutions obtained andgraphs are drawn.
💡
Conclusion & Impact:In this paper, (1/𝐺′)-expansion method is applied to reach the goals set. (1/𝐺′)-expansion method is an effective andpowerful method to obtain the traveling wave solutions of nonlinear partial differential equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we obtain hyperbolic traveling wave solutions of the Sawada–Kotera equation (S-K), using(1/𝐺′)-expansion methods. Special values are given to the parameters in the solutions obtained andgraphs are drawn. These graphs are presented using a computer package program. In this paper, (1/𝐺′)-expansion method is applied to reach the goals set. (1/𝐺′)-expansion method is an effective andpowerful method to obtain the traveling wave solutions of nonlinear partial differential equations.

Özet

Bu çalışmada, (1/𝐺′)-açılım metodunu kullanarak Sawada- Kotera denkleminin (S-K) hiperbolik yürüyen dalga çözümleri elde edildi. Elde edilen çözümlerdeki parametrelere özel değerler verilerek, grafikler çizildi. Bu grafikler bilgisayar paket programı kullanılarak sunuldu. Bu makalede, belirlenen hedefe ulaşmak için (1/𝐺′)-açılım metodu uygulandı. (1/𝐺′)-açılım metodu lineer olmayan kısmi diferansiyel denklemlerin yürüyen dalga çözümlerini elde etmede etkili ve güçlü bir metottur.

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Cite This Article

YOKUŞ, A., DURUR, H. (2022). Hyperbolic Traveling Wave Solutions for Sawada–Kotera Equation Using (𝟏/𝑮′)-Expansion Method. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 19 - Sayı: 3, 615–619. https://ajindex.com/articles/429866

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