THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xiaomin Wang

,

Sudao Bilig

,

Yueyang Feng

ABUNDANT EXACT ANALYTICAL SOLUTIONS AND NOVEL INTERACTION PHENOMENA OF THE GENERALIZED (3+1)-DIMENSIONAL SHALLOW WATER EQUATION

ABSTRACT
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.
KEYWORDS
Exact analytical solution, high-order lump-type solution, interaction solution, generalized bilinear method, generalized (3+1)-dimensional Shallow Water equation
PAPER SUBMITTED: 2019-11-23
PAPER REVISED: 2020-07-03
PAPER ACCEPTED: 2020-07-05
PUBLISHED ONLINE: 2021-03-27
DOI REFERENCE: https://doi.org/10.2298/TSCI191123103W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [2169 - 2181]
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Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence