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

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

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 Bur...

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Main Author: Filiz Taşcan
Format: Article
Language:English
Published: Anadolu University 2017-03-01
Series:Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering
Online Access:http://dergipark.gov.tr/aubtda/issue/28283/300432?publisher=anadolu
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spelling doaj-e208f8cb902a40d6ac380e400844ef722020-11-25T00:16:23ZengAnadolu UniversityAnadolu University Journal of Science and Technology. A : Applied Sciences and Engineering1302-31602146-02052017-03-01181313810.18038/aubtda.30043226IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATIONFiliz TaşcanIn 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.http://dergipark.gov.tr/aubtda/issue/28283/300432?publisher=anadolu
collection DOAJ
language English
format Article
sources DOAJ
author Filiz Taşcan
spellingShingle Filiz Taşcan
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
author_facet Filiz Taşcan
author_sort Filiz Taşcan
title IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION
title_short IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION
title_full IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION
title_fullStr IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION
title_full_unstemmed IMPLEMENTATIONS OF CONSERVATION THEOREM AND THE EXPONENTIAL RATIONAL FUNCTION METHOD TO VISCOUS BURGERS EQUATION
title_sort implementations of conservation theorem and the exponential rational function method to viscous burgers equation
publisher Anadolu University
series Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering
issn 1302-3160
2146-0205
publishDate 2017-03-01
description 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.
url http://dergipark.gov.tr/aubtda/issue/28283/300432?publisher=anadolu
work_keys_str_mv AT filiztascan implementationsofconservationtheoremandtheexponentialrationalfunctionmethodtoviscousburgersequation
_version_ 1725382860563546112

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