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Journals / Mathematical Sciences and Applications E-Notes / 2021 / Cilt: 9 - Sayı: 2

Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation

Sevil ÇULHA ÜNAL
Ayşegül DAŞCIOĞLU
Dilek VAROL BAYRAM
Pages
53–63
Publication Date
2021-06-01
DOI
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AI Summary & Key Takeaways

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

Some solutions have been illustrated by the graphics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, by using a direct method based on the Jacobi elliptic functions, the exact solutions of the space-time fractional symmetric regularized long wave (SRLW) equation have been obtained.
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Key Findings & Data:The elliptic function solutions of a nonlinear ordinary differential (auxiliary) equation $\left({dF}/{d \xi}\right) ^{2} = PF^{4} (\xi)+QF^{2} (\xi) + R$ have also been examined.
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Conclusion & Impact:Some solutions have been illustrated by the graphics.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:SRLW equation · Jacobi elliptic function · Nonlinear differential equation

Abstract

In this paper, by using a direct method based on the Jacobi elliptic functions, the exact solutions of the space-time fractional symmetric regularized long wave (SRLW) equation have been obtained. The elliptic function solutions of a nonlinear ordinary differential (auxiliary) equation $\left({dF}/{d \xi}\right) ^{2} = PF^{4} (\xi)+QF^{2} (\xi) + R$ have also been examined. Besides, the solutions have been found in general form including rational, trigonometric and hyperbolic functions. Moreover, the complex valued solutions, periodic solutions, and soliton solutions, have also been gained. Some solutions have been illustrated by the graphics.

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Cite This Article

ÜNAL, S. Ç., DAŞCIOĞLU, A., BAYRAM, D. V. (2021). Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation. Mathematical Sciences and Applications E-Notes, Cilt: 9 - Sayı: 2, 53–63. https://ajindex.com/articles/690679

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