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Article
Solitary waves of the fractal Whitham–Broer–Kaup equation in shallow water
In the current work, we propose the fractal Whitham–Broer–Kaup equation which can well describe the propagation of shallow water travelling along unsmooth boundary (such as the fractal seabed). By the Semi-inv...
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Article
On a variational principle for the fractal Wu–Zhang system arising in shallow water
The flow of the shallow water of the harbor can be described by the classic Wu–Zhang system. However when the the boundary (such as the coastline) is non-smooth, it becomes invalid. So we modify the classic Wu...