A fractional Whitham-Broer-Kaup equation and its possible application to Tsunami prevention-Reference-Cited by-同舟云学术

A fractional Whitham-Broer-Kaup equation and its possible application to Tsunami prevention

Published:2017 Issue:4 Volume:21 Page:1847-1855
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Wang Yan¹,Zhang Yu-Feng²,Liu Zhen-Jiang³,Iqbal Muhammad²

Affiliation:

1. China University of Mining and Technology, School of Mathematics, Xuzhou, China + Henan Polytechnic University, School of Mathematics and Information Science, Jiaozuo, China

2. China University of Mining and Technology, School of Mathematics, Xuzhou, China

3. Qujing Normal University, College of Mathematics and Statistics, Qujing, PR China

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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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