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Journals / Journal of Engineering Technology and Applied Sciences / 2017 / Cilt: 2 - Sayı: 1

The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations

Yusuf PANDİR
Halime ULUSOY
Pages
13–26
Publication Date
2017-04-30
DOI
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AI Summary & Key Takeaways

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

It is shown that this method is very useful and effective.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this research, we use the multi-wave method to obtain new exact solutions for generalized forms of 5th order KdV equation and fth order KdV (fKdV) equation with power law nonlinearity.
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Key Findings & Data:Computations are performed with the help of the mathematics software Mathematica.
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Conclusion & Impact:It is shown that this method is very useful and effective.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multi-wave method · generalized forms of 5th order KdV equation · fth order KdV (fKdV) equation

Abstract

In this research, we use the multi-wave method to obtain new exact solutions for generalized forms of 5th order KdV equation and fth order KdV (fKdV) equation with power law nonlinearity. Computations are performed with the help of the mathematics software Mathematica. Then, periodic wave solutions, bright soliton solutions and rational function solutions with free parameters are obtained by this approach. It is shown that this method is very useful and effective.

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Cite This Article

PANDİR, Y., ULUSOY, H. (2017). The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences, Cilt: 2 - Sayı: 1, 13–26. https://ajindex.com/articles/677518

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