The aim of this work is to study solitary water wave interactions between two topographic obstacles for the forced Korteweg-de Vries equation (fKdV). Focusing on the details of the interactions, we identify regimes in which solitary wave interactions maintain two well separated crests and regimes where the number of local maxima varies according to the laws $2\rightarrow 1\rightarrow 2\rightarrow 1\rightarrow 2$ or $2\rightarrow 1\rightarrow 2$. It shows that the geometric Lax-categorization of Korteweg-de Vries (KdV) two-soliton interactions still holds for the fKdV equation.

中文翻译：

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强迫Korteweg-de Vries方程的孤水波相互作用

这项工作的目的是研究强迫Korteweg-de Vries方程（fKdV）的两个地形障碍之间的孤立水波相互作用。着眼于相互作用的细节，我们确定了其中孤立波相互作用保持两​​个良好分离的波峰的区域和局部极大值的数量根据法律变化的区域$ 2 \ rightarrow 1 \ rightarrow 2 \ rightarrow 1 \ rightarrow 2 $或$ 2 \ rightarrow 1 \ rightarrow 2 $。它表明，fKdV方程仍保持Korteweg-de Vries（KdV）两孤子相互作用的几何Lax分类。