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.

引用

页数：10

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