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Kink wave solutions to KdV-Burgers equation with forcing term

In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abun-dantly many real and complex exact travelling wave solutions to KdV-Burgers (KdVB) equation with forcing term. The real part is the sum of the shock wave solution of a Burg...

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Main Authors: Chukkol, Yusuf Buba, Muminov, Mukhiddin
Format: Article
Published: Korean Mathematical Society 2020
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/90957/
http://dx.doi.org/10.4134/CKMS.c190119
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spelling my.utm.909572021-05-31T13:28:48Z http://eprints.utm.my/id/eprint/90957/ Kink wave solutions to KdV-Burgers equation with forcing term Chukkol, Yusuf Buba Muminov, Mukhiddin QA Mathematics In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abun-dantly many real and complex exact travelling wave solutions to KdV-Burgers (KdVB) equation with forcing term. The real part is the sum of the shock wave solution of a Burgers equation and the solitary wave solution of a KdV equation with forcing term, while the imaginary part is the product of a shock wave solution of Burgers with a solitary wave travelling solution of KdV equation. The method gives more solutions than the previous methods. Korean Mathematical Society 2020 Article PeerReviewed Chukkol, Yusuf Buba and Muminov, Mukhiddin (2020) Kink wave solutions to KdV-Burgers equation with forcing term. Communications of the Korean Mathematical Society, 35 (2). pp. 685-695. ISSN 1225-1763 http://dx.doi.org/10.4134/CKMS.c190119
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
Muminov, Mukhiddin
Kink wave solutions to KdV-Burgers equation with forcing term
description In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abun-dantly many real and complex exact travelling wave solutions to KdV-Burgers (KdVB) equation with forcing term. The real part is the sum of the shock wave solution of a Burgers equation and the solitary wave solution of a KdV equation with forcing term, while the imaginary part is the product of a shock wave solution of Burgers with a solitary wave travelling solution of KdV equation. The method gives more solutions than the previous methods.
format Article
author Chukkol, Yusuf Buba
Muminov, Mukhiddin
author_facet Chukkol, Yusuf Buba
Muminov, Mukhiddin
author_sort Chukkol, Yusuf Buba
title Kink wave solutions to KdV-Burgers equation with forcing term
title_short Kink wave solutions to KdV-Burgers equation with forcing term
title_full Kink wave solutions to KdV-Burgers equation with forcing term
title_fullStr Kink wave solutions to KdV-Burgers equation with forcing term
title_full_unstemmed Kink wave solutions to KdV-Burgers equation with forcing term
title_sort kink wave solutions to kdv-burgers equation with forcing term
publisher Korean Mathematical Society
publishDate 2020
url http://eprints.utm.my/id/eprint/90957/
http://dx.doi.org/10.4134/CKMS.c190119
_version_ 1702169625527058432
score 13.211869

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