On the modeling of shallow-water waves moving over a shear flow

被引：2
|
作者：
Wang, Hao [1 ]
Kang, Jing [2 ,3 ]
Liu, Xiaochuan [4 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
[2] Northwest Univ, Ctr Nonlinear Studies & Sch Math, Xian 710069, Shaanxi, Peoples R China
[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[4] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 124卷
关键词：
Camassa-Holm equation; Shallow water; Solitons; Shear flows; CAMASSA-HOLM; EQUATION; BREAKING;
D O I：
10.1016/j.aml.2021.107607
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a quasilinear shallow water model for moderate-amplitude waves with the effect of underlying shear flow is derived from the governing equations in the two-dimensional incompressible fluid. Such a model serves as a highly nonlinear generalized Camassa-Holm equation, which is based on the choice of depth and is proceeded for the case of a linear shear. Moreover, the effects of non-zero vorticity and nonlocal higher nonlinearities on the variation of the depth are also investigated. (C) 2021 Elsevier Ltd. All rights reserved.
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