THERMAL SCIENCE

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Chang-Jun Qi

,

Bao-Jun Zhao

A NEW 3-D SIXTH-ORDER BOUSSINESQ MODEL IN SHALLOW WATER WAVE

ABSTRACT
In this article, the surface wave in inviscid fluid was analyzed. Based on the Euler equation and mass conservation equation, and coupled with a set of boundary conditions, the (2+1)-dimensional sixth-order Boussinesq equation is derived for the first time. According to double-series perturbation analysis and scale transformation, the one soliton solution is obtained with (G′/G)-expansion method. Finally, the effects of amplitude parameter and shallowness parameter on the amplitude of surface wave are analyzed.
KEYWORDS
3-D sixth-order Boussinesq equation, soliton solution, double-series perturbation analysis
PAPER SUBMITTED: 2023-03-18
PAPER REVISED: 2023-05-17
PAPER ACCEPTED: 2023-06-19
PUBLISHED ONLINE: 2023-11-05
DOI REFERENCE: https://doi.org/10.2298/TSCI2305857Q
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 5, PAGES [3857 - 3862]
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A new 3-D sixth-order Boussinesq model in shallow water wave

© 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