A study of the shallow water waves with some Boussinesq-type equations

被引：36
|
作者：
Kai, Yue [1 ]
Chen, Shuangqing [2 ]
Zhang, Kai [3 ]
Yin, Zhixiang [1 ]
机构：
[1] Shanghai Univ Engn Sci, Ctr Intelligent Comp & Appl Stat, Sch Math Phys & Stat, Shanghai, Peoples R China
[2] Northeast Petr Univ, Sch Petr Engn, Daqing, Peoples R China
[3] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai, Peoples R China
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2021年
基金：
中国国家自然科学基金;
关键词：
Complete discrimination system for polynomial method; shallow water wave equation; Hamiltonian; qualitative analysis; quantitative analysis; CLASSIFICATION;
D O I：
10.1080/17455030.2021.1933259
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, analytic solutions and dynamic properties of a variety of Boussinesq-type equations are established via the complete discrimination system for polynomial method. All the existing single traveling wave solutions to these equations as well as some new solutions are shown, and the Hamiltonian and topological properties to these equations are also presented. Considering the significance of the Boussinesq-type equations, our results would have wide applications in ocean engineering and fluid mechanics, like describing and predicting the solitary and periodic waves in various shallow water models.
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收藏
页数：18
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