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Journals / Türk Doğa ve Fen Dergisi / 2026 / Cilt: 11 Sayı: 3

On Travelling Wave Solutions of Dullin-Gottwald-Holm Dynamical Equation and Strain Wave Equation

Şeyma Tülüce Demiray(OSMANIYE KORKUT ATA UNIVERSITY, DEPARTMENT OF MATHEMATICS)0000-0002-8027-7290
Merve Davarcı Yalçın(OSMANIYE KORKUT ATA UNIVERSITY)0000-0002-4862-7836
Pages
134–149
Publication Date
2022-09-29
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AI Summary & Key Takeaways

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

Then, we present results that we obtained by using this method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, extended trial equation method (ETEM) is implemented to obtain exact solutions of the Dullin-Gottwald-Holm Dynamical equation (DGHDE) and the strain wave equation.
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Key Findings & Data:We constitute some exact solutions such as soliton solutions, rational, Jacobi elliptic, periodic wave solutions and hyperbolic function solutions of these equations via ETEM.
💡
Conclusion & Impact:Then, we present results that we obtained by using this method.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:The Dullin-Gottwald-Holm Dynamical equation · The strain wave equation · Extended trial equation method

Abstract

In this study, extended trial equation method (ETEM) is implemented to obtain exact solutions of the Dullin-Gottwald-Holm Dynamical equation (DGHDE) and the strain wave equation. We constitute some exact solutions such as soliton solutions, rational, Jacobi elliptic, periodic wave solutions and hyperbolic function solutions of these equations via ETEM. Then, we present results that we obtained by using this method.

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Cite This Article

Demiray, Ş. T., Yalçın, M. D. (2022). On Travelling Wave Solutions of Dullin-Gottwald-Holm Dynamical Equation and Strain Wave Equation. Türk Doğa ve Fen Dergisi, Cilt: 11 Sayı: 3, 134–149. https://doi.org/10.46810/tdfd.1099472

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