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Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2017 / Cilt: 18 - Sayı: 1

IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION

Filiz TAŞCAN
Melike KAPLAN
Arzu AKBULUT
Pages
31–38
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

Also the obtained results are shown graphically.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we dealt with conservation laws and exact travelling wave solutions of viscous Burgers equation.
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Key Findings & Data:We used conservation theorem for finding conservation laws for this equation.
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Conclusion & Impact:Also the obtained results are shown graphically.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we dealt with conservation laws and exact travelling wave solutions of viscous Burgers equation. We used conservation theorem for finding conservation laws for this equation. All founded conservation laws are trivial conservation laws. Then, we found the exact solutions of viscous Burgers equation using the exponential rational function method. The results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear partial differential equations. Also the obtained results are shown graphically.

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Cite This Article

TAŞCAN, F., KAPLAN, M., AKBULUT, A. (2022). IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 18 - Sayı: 1, 31–38. https://ajindex.com/articles/438500

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