Research Article

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

Volume: 18 Number: 1 March 31, 2017
Filiz Taşcan
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Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering Cover Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering
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IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION

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.

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

March 31, 2017

Submission Date

May 18, 2016

Acceptance Date

-

Published in Issue

Year 2017 Volume: 18 Number: 1

DOI

https://doi.org/10.18038/aubtda.300432

IZ

https://izlik.org/JA94WC23AE

Cite

RIS / Bibtex
APA
Taşcan, F. (2017). IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, 18(1), 31-38. https://doi.org/10.18038/aubtda.300432
AMA
1.Taşcan F. IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION. AUJST-A. 2017;18(1):31-38. doi:10.18038/aubtda.300432
Chicago
Taşcan, Filiz. 2017. “IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 18 (1): 31-38. https://doi.org/10.18038/aubtda.300432.
EndNote
Taşcan F (March 1, 2017) IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 18 1 31–38.
IEEE
[1]F. Taşcan, “IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION”, AUJST-A, vol. 18, no. 1, pp. 31–38, Mar. 2017, doi: 10.18038/aubtda.300432.
ISNAD
Taşcan, Filiz. “IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 18/1 (March 1, 2017): 31-38. https://doi.org/10.18038/aubtda.300432.
JAMA
1.Taşcan F. IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION. AUJST-A. 2017;18:31–38.
MLA
Taşcan, Filiz. “IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 18, no. 1, Mar. 2017, pp. 31-38, doi:10.18038/aubtda.300432.
Vancouver
1.Filiz Taşcan. IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION. AUJST-A. 2017 Mar. 1;18(1):31-8. doi:10.18038/aubtda.300432