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

被引：0

作者：

Qi, Chang-Jun ^{[1
]}

Zhao, Bao-Jun ^{[1
,2
]}

机构：

[1] Yangzhou Univ, Coll Hydraul Sci & Engn, Yangzhou, Jiangsu, Peoples R China

[2] Hohai Univ, Key Lab, Minist Educ Coastal Disaster & Protect, Nanjing, Jiangsu, Peoples R China

来源：

THERMAL SCIENCE | 2023年 / 27卷 / 5A期

关键词：

3-D sixth-order Boussinesq equation; soliton solution; double-series perturbation analysis; EQUATIONS;

D O I：

10.2298/TSCI2305857Q

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：3857 / 3862

页数：6

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