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.

中文翻译：

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关于在剪切流上移动的浅水波的建模

在本文中，从二维不可压缩流体中的控制方程导出了具有潜在剪切流影响的中等幅度波的拟线性浅水模型。这种模型用作高度非线性的广义 Camassa-Holm 方程，该方程基于深度的选择，并在线性剪切的情况下进行。此外，还研究了非零涡度和非局部较高非线性对深度变化的影响。