Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles

Mixture of liquid with gas bubbles are found in many areas of natural and physical sciences especially in engineering and industries, where nonlinear wave propagation is a common phenomenon. In this paper, we obtained the bright and dark soliton solutions of the three-dimensional Korteweg-de-Vries (...

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Main Authors:	Chukkol, Yusuf Buba, Muminov, Mukhiddin
Format:	Article
Published:	Badih/Ghusayni, Ed. & Pub. 2020
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/92679/ http://ijmcs.future-in-tech.net/15.1/R-Chukhol.pdf
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Institution:	Universiti Teknologi Malaysia

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spelling	my.utm.926792021-10-28T10:25:19Z http://eprints.utm.my/id/eprint/92679/ Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles Chukkol, Yusuf Buba Muminov, Mukhiddin QA Mathematics Mixture of liquid with gas bubbles are found in many areas of natural and physical sciences especially in engineering and industries, where nonlinear wave propagation is a common phenomenon. In this paper, we obtained the bright and dark soliton solutions of the three-dimensional Korteweg-de-Vries (KdV) equation and three-dimensional modified Korteweg-de-Vries (mKdV) equation in an inviscid bubbly liquid flow. Bright soliton solutions of these equations were derived analytically using a secant hyperbolic wave ansatz, while the dark soliton solutions of the equations were obtained explicitly using tan-gent hyperbolic wave ansatz. The physical parameters in the soliton solutions are obtained. Badih/Ghusayni, Ed. & Pub. 2020-01 Article PeerReviewed Chukkol, Yusuf Buba and Muminov, Mukhiddin (2020) Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles. International Journal of Mathematics and Computer Science, 15 (1). pp. 253-264. ISSN 1814-0424 http://ijmcs.future-in-tech.net/15.1/R-Chukhol.pdf
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 Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles
description	Mixture of liquid with gas bubbles are found in many areas of natural and physical sciences especially in engineering and industries, where nonlinear wave propagation is a common phenomenon. In this paper, we obtained the bright and dark soliton solutions of the three-dimensional Korteweg-de-Vries (KdV) equation and three-dimensional modified Korteweg-de-Vries (mKdV) equation in an inviscid bubbly liquid flow. Bright soliton solutions of these equations were derived analytically using a secant hyperbolic wave ansatz, while the dark soliton solutions of the equations were obtained explicitly using tan-gent hyperbolic wave ansatz. The physical parameters in the soliton solutions are obtained.
format	Article
author	Chukkol, Yusuf Buba Muminov, Mukhiddin
author_facet	Chukkol, Yusuf Buba Muminov, Mukhiddin
author_sort	Chukkol, Yusuf Buba
title	Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles
title_short	Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles
title_full	Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles
title_fullStr	Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles
title_full_unstemmed	Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles
title_sort	bright and dark soliton solutions of three-dimensional kdv and mkdv equations in inviscid liquid with gas bubbles
publisher	Badih/Ghusayni, Ed. & Pub.
publishDate	2020
url	http://eprints.utm.my/id/eprint/92679/ http://ijmcs.future-in-tech.net/15.1/R-Chukhol.pdf
_version_	1715189673796567040

Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles

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