Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation

This paper reveals abundant exact analytical solutions to the generalized (3+1)-D shallow water equation. The generalized bilinear method is used in the solution process and the obtained solutions include the high-order lump-type solutions, the three-wave solutions, the breather solutions. The inter...

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Main Authors:	Wang Xiaomin, Bilige Sudao, Feng Yueyang
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2021-01-01
Series:	Thermal Science
Subjects:	exact analytical solution high-order lump-type solution interaction solution generalized bilinear method generalized (3+1)-d shallow water equation
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100103W.pdf

id	doaj-0a4f925a3ba241a795085dc33029196b
record_format	Article
spelling	doaj-0a4f925a3ba241a795085dc33029196b2021-05-27T13:12:06ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632021-01-01253 Part B2169218110.2298/TSCI191123103W0354-98362100103WAbundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equationWang Xiaomin0Bilige Sudao1Feng Yueyang2Department of Mathemaitcs, Inner Mongolia University of Technology, Hohhote, ChinaDepartment of Mathemaitcs, Inner Mongolia University of Technology, Hohhote, ChinaDepartment of Mathemaitcs, Inner Mongolia University of Technology, Hohhote, ChinaThis paper reveals abundant exact analytical solutions to the generalized (3+1)-D shallow water equation. The generalized bilinear method is used in the solution process and the obtained solutions include the high-order lump-type solutions, the three-wave solutions, the breather solutions. The interaction between the high-order lump-type solutions and the soliton solutions is also elucidated. These solutions have greatly enriched the generalized (3+1)-D shallow water equation in open literature.http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100103W.pdfexact analytical solutionhigh-order lump-type solutioninteraction solutiongeneralized bilinear methodgeneralized (3+1)-d shallow water equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wang Xiaomin Bilige Sudao Feng Yueyang
spellingShingle	Wang Xiaomin Bilige Sudao Feng Yueyang Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation Thermal Science exact analytical solution high-order lump-type solution interaction solution generalized bilinear method generalized (3+1)-d shallow water equation
author_facet	Wang Xiaomin Bilige Sudao Feng Yueyang
author_sort	Wang Xiaomin
title	Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation
title_short	Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation
title_full	Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation
title_fullStr	Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation
title_full_unstemmed	Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation
title_sort	abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation
publisher	VINCA Institute of Nuclear Sciences
series	Thermal Science
issn	0354-9836 2334-7163
publishDate	2021-01-01
description	This paper reveals abundant exact analytical solutions to the generalized (3+1)-D shallow water equation. The generalized bilinear method is used in the solution process and the obtained solutions include the high-order lump-type solutions, the three-wave solutions, the breather solutions. The interaction between the high-order lump-type solutions and the soliton solutions is also elucidated. These solutions have greatly enriched the generalized (3+1)-D shallow water equation in open literature.
topic	exact analytical solution high-order lump-type solution interaction solution generalized bilinear method generalized (3+1)-d shallow water equation
url	http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100103W.pdf
work_keys_str_mv	AT wangxiaomin abundantexactanalyticalsolutionsandnovelinteractionphenomenaofthegeneralized31dimensionalshallowwaterequation AT biligesudao abundantexactanalyticalsolutionsandnovelinteractionphenomenaofthegeneralized31dimensionalshallowwaterequation AT fengyueyang abundantexactanalyticalsolutionsandnovelinteractionphenomenaofthegeneralized31dimensionalshallowwaterequation
_version_	1721425509507661824

Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation

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