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Journals / New Trends in Mathematical Sciences / 2017 / Cilt: 5 Sayı: 4

New analytical solutions of the space fractional KdV equation in terms of Jacobi elliptic functions

Aysegul Dascioglu(PAMUKKALE UNIVERSITY)
Sevil Culha(PAMUKKALE UNIVERSITY)
Dilek Varol Bayram(PAMUKKALE UNIVERSITY)
Pages
232–241
Publication Date
2017-10-01
DOI
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AI Summary & Key Takeaways

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

Also, the complex valued solutions are obtained and some solutions of this equation are demonstrated. 

📌 3 Key Takeaways

🎯
Objective & Hypothesis: In this study, new families of analytical exact solutions of the space fractional Korteweg-de Vries (KdV) equation are presented.
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Key Findings & Data:Here, the fractional derivative is considered in conformable sense.
💡
Conclusion & Impact:Also, the complex valued solutions are obtained and some solutions of this equation are demonstrated. 
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Jacobi elliptic function · fractional differential equation · Jacobi elliptic function

Abstract

 In this study, new families of analytical exact solutions of the space fractional Korteweg-de Vries (KdV) equation are presented. Here, the fractional derivative is considered in conformable sense. By utilizing the Jacobi elliptic function expansion method, the solutions are obtained in general form containing the hyperbolic, trigonometric, and rational functions. Also, the complex valued solutions are obtained and some solutions of this equation are demonstrated. 

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Cite This Article

Dascioglu, A., Culha, S., Bayram, D. V. (2017). New analytical solutions of the space fractional KdV equation in terms of Jacobi elliptic functions. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 4, 232–241. https://ajindex.com/articles/1003689

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