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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2018 / Cilt: 8 - Sayı: 1

New travelling wave solutions for fractional regularized long-wave equation and fractional coupled Nizhnik-Novikov-Veselov equation

Özkan GÜNER
Pages
63–72
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

Proposed methods are more powerful and canbe applied to other fractional differential equations arising in mathematicalphysics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, solitary-wave ansatz and the (G′/G)−expansion methods havebeen used to obtain exact solutions of the fractional regularized long-wave(RLW) and coupled Nizhnik-Novikov-Veselov (NNV) equation.
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Key Findings & Data:As a result,three types of exact analytical solutions such as rational function solutions,trigonometric function solutions, hyperbolic function solutions are formallyderived from these equations.
💡
Conclusion & Impact:Proposed methods are more powerful and canbe applied to other fractional differential equations arising in mathematicalphysics.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, solitary-wave ansatz and the (G′/G)−expansion methods havebeen used to obtain exact solutions of the fractional regularized long-wave(RLW) and coupled Nizhnik-Novikov-Veselov (NNV) equation. As a result,three types of exact analytical solutions such as rational function solutions,trigonometric function solutions, hyperbolic function solutions are formallyderived from these equations. Proposed methods are more powerful and canbe applied to other fractional differential equations arising in mathematicalphysics.

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Cite This Article

GÜNER, Ö. (2022). New travelling wave solutions for fractional regularized long-wave equation and fractional coupled Nizhnik-Novikov-Veselov equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 8 - Sayı: 1, 63–72. https://ajindex.com/articles/440629

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