New dark-bright soliton in the shallow water wave model

In this paper, we employ the sine-Gordon expansion method to shallow water wave models which are Kadomtsev-Petviashvili-Benjamin-Bona-Mahony and the Benney-Luke equations. We construct many new complex combined dark-bright soliton, anti-kink soliton solutions for the governing models. The 2D, 3D and...

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Main Authors:	Gulnur Yel, Haci Mehmet Baskonus, Wei Gao
Format:	Article
Language:	English
Published:	AIMS Press 2020-05-01
Series:	AIMS Mathematics
Subjects:	the sine-gordon expansion method kadomtsov-petviashvili-benjamin-bona-mahony equation benney-luke equation solitary wave solutions
Online Access:	https://www.aimspress.com/article/10.3934/math.2020259/fulltext.html

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spelling	doaj-005660ce02a54cb6a3bdbb7ba5ebfcfa2020-11-25T03:10:04ZengAIMS PressAIMS Mathematics2473-69882020-05-01544027404410.3934/math.2020259New dark-bright soliton in the shallow water wave modelGulnur Yel0Haci Mehmet Baskonus1Wei Gao21 Final International University, Kyrenia Mersin 10, Turkey2 Harran University, Faculty of Education, Sanliurfa, Turkey2 Harran University, Faculty of Education, Sanliurfa, Turkey 3 School of Information Science and Technology, Yunnan Normal University, Yunnan, ChinaIn this paper, we employ the sine-Gordon expansion method to shallow water wave models which are Kadomtsev-Petviashvili-Benjamin-Bona-Mahony and the Benney-Luke equations. We construct many new complex combined dark-bright soliton, anti-kink soliton solutions for the governing models. The 2D, 3D and contour plots are given under the suitable coefficients. The obtained results show that the approach proposed for these completely integrable equations can be used effectively.https://www.aimspress.com/article/10.3934/math.2020259/fulltext.htmlthe sine-gordon expansion methodkadomtsov-petviashvili-benjamin-bona-mahony equationbenney-luke equationsolitary wave solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Gulnur Yel Haci Mehmet Baskonus Wei Gao
spellingShingle	Gulnur Yel Haci Mehmet Baskonus Wei Gao New dark-bright soliton in the shallow water wave model AIMS Mathematics the sine-gordon expansion method kadomtsov-petviashvili-benjamin-bona-mahony equation benney-luke equation solitary wave solutions
author_facet	Gulnur Yel Haci Mehmet Baskonus Wei Gao
author_sort	Gulnur Yel
title	New dark-bright soliton in the shallow water wave model
title_short	New dark-bright soliton in the shallow water wave model
title_full	New dark-bright soliton in the shallow water wave model
title_fullStr	New dark-bright soliton in the shallow water wave model
title_full_unstemmed	New dark-bright soliton in the shallow water wave model
title_sort	new dark-bright soliton in the shallow water wave model
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2020-05-01
description	In this paper, we employ the sine-Gordon expansion method to shallow water wave models which are Kadomtsev-Petviashvili-Benjamin-Bona-Mahony and the Benney-Luke equations. We construct many new complex combined dark-bright soliton, anti-kink soliton solutions for the governing models. The 2D, 3D and contour plots are given under the suitable coefficients. The obtained results show that the approach proposed for these completely integrable equations can be used effectively.
topic	the sine-gordon expansion method kadomtsov-petviashvili-benjamin-bona-mahony equation benney-luke equation solitary wave solutions
url	https://www.aimspress.com/article/10.3934/math.2020259/fulltext.html
work_keys_str_mv	AT gulnuryel newdarkbrightsolitonintheshallowwaterwavemodel AT hacimehmetbaskonus newdarkbrightsolitonintheshallowwaterwavemodel AT weigao newdarkbrightsolitonintheshallowwaterwavemodel
_version_	1724660764546957312

New dark-bright soliton in the shallow water wave model

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