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
收藏
页码：3857 / 3862
页数：6
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