A new 3-D sixth-order Boussinesq model in shallow water wave-Reference-Cited by-同舟云学术

A new 3-D sixth-order Boussinesq model in shallow water wave

Published:2023 Issue:5 Part A Volume:27 Page:3857-3862
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Qi Chang-Jun¹,Zhao Bao-Jun²

Affiliation:

1. College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou, Jiangsu, China

2. College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou, Jiangsu, China + Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University, Nanjing, Jiangsu, China

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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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