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Journals / Turkish Journal of Mathematics and Computer Science / 2013 / Volume: 1

Solutions of Nonlinear Partial Differential Equations Using Generalized Hyperbolic Functions

Yusuf Pandir(Department of Mathematics, Faculty of Science and Art, Bozok University, 66100 Yozgat, Turkey)
Halime Ulusoy(Department of Mathematics, Faculty of Science and Art, Bozok University, 66100 Yozgat, Turkey)
Pages
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Publication Date
2016-05-26
DOI
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AI Summary & Key Takeaways

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

Also, physical reviews of the solutions are added.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, with the help of generalized hyperbolic functions a new version of the classic sech-function method is defined.
📊
Key Findings & Data:The developed method is applied to the nonlinear partial differential equations and a general form of solution function called as ” 1-soliton ” is obtained.
💡
Conclusion & Impact:Also, physical reviews of the solutions are added.
🔬Design:Review & Systematic Survey
📍Scope:Comprehensive Sample
⚙️Variables:Generalized hyperbolic functions · generalized regularized long wave equation · (2+1) dimensional Boussinesq equation

Abstract

In this article, with the help of generalized hyperbolic functions a new version of the classic sech-function method is defined. The developed method is applied to the nonlinear partial differential equations and a general form of solution function called as ” 1-soliton ” is obtained. New exact solutions of generalized regularized long wave equation (GRLW) and the (2+1) dimensional Boussinesq equation found. Also, physical reviews of the solutions are added.

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Cite This Article

Pandir, Y., Ulusoy, H. (2016). Solutions of Nonlinear Partial Differential Equations Using Generalized Hyperbolic Functions. Turkish Journal of Mathematics and Computer Science, Volume: 1. https://ajindex.com/articles/1324991

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