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Journals / New Trends in Mathematical Sciences / 2026 / Cilt: 5 Sayı: 3

On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation

M. Tuncay Gencoglu(FIRAT UNIVERSITY)
Ali Akgul(SIIRT UNIVERSITY)
Mustafa Inc(FIRAT UNIVERSITY)
Pages
262–272
Publication Date
2017-07-01
DOI
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AI Summary & Key Takeaways

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

Finally, the numerical simulations add to these obtained solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The improved (G′ /G)-expansion method is applied to reach the different type soliton solitions of the Hirota-Satsuma Coupled KdV (HSCKdV) equation.
📊
Key Findings & Data:It is obtained hyperbolic, triangular, periodic wave and kink soliton solitions of this equation.
💡
Conclusion & Impact:Finally, the numerical simulations add to these obtained solutions.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Improved (G′ /G)-expansion method · Hirota-Satsuma coupled KdV equation · Improved (G′ /G)-expansion method

Abstract

The improved (G′ /G)-expansion method is applied to reach the different type soliton solitions of the Hirota-Satsuma Coupled KdV (HSCKdV) equation. It is obtained hyperbolic, triangular, periodic wave and kink soliton solitions of this equation. The method is an effective one to reach the different types of solutions of nonlinear partial differential equations and systems. Finally, the numerical simulations add to these obtained solutions.

🔖

Cite This Article

Gencoglu, M. T., Akgul, A., Inc, M. (2017). On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 3, 262–272. https://ajindex.com/articles/1657653

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