THERMAL SCIENCE

International Scientific Journal

Yan Wang

,

Yu-Feng Zhang

,

Zhen-Jiang Liu

,

Muhammad Iqbal

A FRACTIONAL WHITHAM-BROER-KAUP EQUATION AND ITS POSSIBLE APPLICATION TO TSUNAMI PREVENTION

ABSTRACT
A fractional Whitham-Broer-Kaup equation is suggested using He's fractional derivative to model solitary waves in shallow water in porous medium near a dam. A modification of the exp-function method, the generalized exponential rational function method, is adopted to elucidate the basic solution properties of the equation, revealing that the value of the fractional order can be used effectively to control the wave velocity, the wave height, and the wave morphology. This theoretical result can be used for possible tsunami prevention.
KEYWORDS
He’s fractional derivative, exp-function method, generalized exponential rational function method, fractional Whitham-Broer-Kaup equation, Tsunami
PAPER SUBMITTED: 2016-05-10
PAPER REVISED: 2016-06-28
PAPER ACCEPTED: 2016-08-29
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160510079W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 4, PAGES [1847 - 1855]
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A fractional Whitham-Broer-Kaup equation and its possible application to Tsunami prevention

© 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