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Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method

In this paper, tanh-coth method was applied to derive the exact travelling wave solutions to the Korteweg-de-Vries and Burgers equation with forcing term(fKDVB). Solutions that are linear combination of solitary and shock wave solutions, and periodic wave solutions are obtained, by reducing the equa...

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Main Authors: Chukkol, Yusuf Buba, Mohamad, Mohd. Nor, Muminov, Mukhiddin I.
Format: Conference or Workshop Item
Published: 2017
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/97162/
http://dx.doi.org/10.1063/1.4995856
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spelling my.utm.971622022-09-23T01:54:23Z http://eprints.utm.my/id/eprint/97162/ Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method Chukkol, Yusuf Buba Mohamad, Mohd. Nor Muminov, Mukhiddin I. QA Mathematics In this paper, tanh-coth method was applied to derive the exact travelling wave solutions to the Korteweg-de-Vries and Burgers equation with forcing term(fKDVB). Solutions that are linear combination of solitary and shock wave solutions, and periodic wave solutions are obtained, by reducing the equation to the homogeneous type using a wave transformation. The method with the help of symbolic computation tool box provides a systematic way of solving many physical models involving nonlinear partial differential equations in mathematical physics. 2017 Conference or Workshop Item PeerReviewed Chukkol, Yusuf Buba and Mohamad, Mohd. Nor and Muminov, Mukhiddin I. (2017) Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method. In: 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016, 27 - 29 September 2016, Kuala Terengganu, Terengganu. http://dx.doi.org/10.1063/1.4995856
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Chukkol, Yusuf Buba
Mohamad, Mohd. Nor
Muminov, Mukhiddin I.
Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
description In this paper, tanh-coth method was applied to derive the exact travelling wave solutions to the Korteweg-de-Vries and Burgers equation with forcing term(fKDVB). Solutions that are linear combination of solitary and shock wave solutions, and periodic wave solutions are obtained, by reducing the equation to the homogeneous type using a wave transformation. The method with the help of symbolic computation tool box provides a systematic way of solving many physical models involving nonlinear partial differential equations in mathematical physics.
format Conference or Workshop Item
author Chukkol, Yusuf Buba
Mohamad, Mohd. Nor
Muminov, Mukhiddin I.
author_facet Chukkol, Yusuf Buba
Mohamad, Mohd. Nor
Muminov, Mukhiddin I.
author_sort Chukkol, Yusuf Buba
title Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
title_short Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
title_full Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
title_fullStr Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
title_full_unstemmed Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
title_sort exact solutions to the kdv-burgers equation with forcing term using tanh-coth method
publishDate 2017
url http://eprints.utm.my/id/eprint/97162/
http://dx.doi.org/10.1063/1.4995856
_version_ 1745562345406464000
score 13.18916

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