The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics

Sobolev equations have been used to describe many physical phenomena and they are characterized by having mixed time and space derivatives appearing in the highest-order terms of an partial differential equation. In this work we consider two important system of Sobolev type equations namely improved...

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Main Authors: S. Akçağıl, O. Gözükızıl
Format: Article
Language:English
Published: Kyrgyz Turkish Manas University 2016-05-01
Series:MANAS: Journal of Engineering
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Online Access:https://dergipark.org.tr/en/download/article-file/576722
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author S. Akçağıl
O. Gözükızıl
author_facet S. Akçağıl
O. Gözükızıl
author_sort S. Akçağıl
collection DOAJ
description Sobolev equations have been used to describe many physical phenomena and they are characterized by having mixed time and space derivatives appearing in the highest-order terms of an partial differential equation. In this work we consider two important system of Sobolev type equations namely improved Boussinesq and higher-order improved Boussinesq. By using tanh-coth method, we obtain abundant new travelling wave solutions of these important physical structures.
format Article
id doaj-art-691aeab75b7d4a67bd32cf2a903062ec
institution Kabale University
issn 1694-7398
language English
publishDate 2016-05-01
publisher Kyrgyz Turkish Manas University
record_format Article
series MANAS: Journal of Engineering
spelling doaj-art-691aeab75b7d4a67bd32cf2a903062ec2024-12-05T04:20:03ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982016-05-014152621437The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical PhysicsS. Akçağıl0O. Gözükızıl1Şeyh Edebali University, Faculty of Economics and Administrative Sciences, Bilecik, Turkey.Şeyh Edebali University, Faculty of Economics and Administrative Sciences, Bilecik, Turkey.Sobolev equations have been used to describe many physical phenomena and they are characterized by having mixed time and space derivatives appearing in the highest-order terms of an partial differential equation. In this work we consider two important system of Sobolev type equations namely improved Boussinesq and higher-order improved Boussinesq. By using tanh-coth method, we obtain abundant new travelling wave solutions of these important physical structures.https://dergipark.org.tr/en/download/article-file/576722sobolev equationthe tanh-coth methodthe system of improved boussinesq equationsthe system of higher-order improved boussinesq equationssobolev denklemitanh-coth metotgeliştirilmiş boussinesq denklem sistemiyüksek mertebeden geliştirilmiş boussinesq denklem sistemi
spellingShingle S. Akçağıl
O. Gözükızıl
The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
MANAS: Journal of Engineering
sobolev equation
the tanh-coth method
the system of improved boussinesq equations
the system of higher-order improved boussinesq equations
sobolev denklemi
tanh-coth metot
geliştirilmiş boussinesq denklem sistemi
yüksek mertebeden geliştirilmiş boussinesq denklem sistemi
title The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
title_full The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
title_fullStr The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
title_full_unstemmed The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
title_short The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
title_sort tanh coth method for two system of sobolev type equations in mathematical physics
topic sobolev equation
the tanh-coth method
the system of improved boussinesq equations
the system of higher-order improved boussinesq equations
sobolev denklemi
tanh-coth metot
geliştirilmiş boussinesq denklem sistemi
yüksek mertebeden geliştirilmiş boussinesq denklem sistemi
url https://dergipark.org.tr/en/download/article-file/576722
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AT sakcagıl tanhcothmethodfortwosystemofsobolevtypeequationsinmathematicalphysics
AT ogozukızıl tanhcothmethodfortwosystemofsobolevtypeequationsinmathematicalphysics